id	sid	tid	token	lemma	pos
fumecheng-12394	1	1	12394	12394	NUM
fumecheng-12394	1	2	facta	facta	PROPN
fumecheng-12394	1	3	universitatis	universitatis	PROPN
fumecheng-12394	1	4	series	series	NOUN
fumecheng-12394	1	5	:	:	PUNCT
fumecheng-12394	1	6	mechanical	mechanical	ADJ
fumecheng-12394	1	7	engineering	engineering	NOUN
fumecheng-12394	1	8	vol	vol	NOUN
fumecheng-12394	1	9	.	.	PUNCT
fumecheng-12394	1	10	22	22	NUM
fumecheng-12394	1	11	,	,	PUNCT
fumecheng-12394	1	12	no	no	DET
fumecheng-12394	1	13	3	3	NUM
fumecheng-12394	1	14	,	,	PUNCT
fumecheng-12394	1	15	special	special	ADJ
fumecheng-12394	1	16	issue	issue	NOUN
fumecheng-12394	1	17	,	,	PUNCT
fumecheng-12394	1	18	2024	2024	NUM
fumecheng-12394	1	19	,	,	PUNCT
fumecheng-12394	1	20	pp	pp	ADV
fumecheng-12394	1	21	.	.	PUNCT
fumecheng-12394	2	1	473	473	NUM
fumecheng-12394	2	2	484	484	NUM
fumecheng-12394	2	3	https://doi.org/10.22190/fume231219010k	https://doi.org/10.22190/fume231219010k	NOUN
fumecheng-12394	2	4	©	©	PROPN
fumecheng-12394	2	5	2024	2024	NUM
fumecheng-12394	2	6	by	by	ADP
fumecheng-12394	2	7	university	university	PROPN
fumecheng-12394	2	8	of	of	ADP
fumecheng-12394	2	9	niš	niš	PROPN
fumecheng-12394	2	10	,	,	PUNCT
fumecheng-12394	2	11	serba	serba	PROPN
fumecheng-12394	2	12	|	|	PROPN
fumecheng-12394	2	13	creative	creative	ADJ
fumecheng-12394	2	14	commons	common	NOUN
fumecheng-12394	2	15	license	license	NOUN
fumecheng-12394	2	16	:	:	PUNCT
fumecheng-12394	2	17	cc	cc	VERB
fumecheng-12394	2	18	by	by	ADP
fumecheng-12394	2	19	-	-	PUNCT
fumecheng-12394	2	20	nc	nc	VERB
fumecheng-12394	2	21	-	-	PUNCT
fumecheng-12394	2	22	nd	nd	ADV
fumecheng-12394	2	23	original	original	ADJ
fumecheng-12394	2	24	scientific	scientific	ADJ
fumecheng-12394	2	25	paper	paper	ADJ
fumecheng-12394	2	26	longitudinal	longitudinal	ADJ
fumecheng-12394	2	27	-	-	PUNCT
fumecheng-12394	2	28	radial	radial	ADJ
fumecheng-12394	2	29	vibrations	vibration	NOUN
fumecheng-12394	2	30	of	of	ADP
fumecheng-12394	2	31	a	a	DET
fumecheng-12394	2	32	viscoelastic	viscoelastic	ADJ
fumecheng-12394	2	33	cylindrical	cylindrical	ADJ
fumecheng-12394	2	34	three	three	NUM
fumecheng-12394	2	35	-	-	PUNCT
fumecheng-12394	2	36	layer	layer	NOUN
fumecheng-12394	2	37	structure	structure	NOUN
fumecheng-12394	2	38	khayrulla	khayrulla	PROPN
fumecheng-12394	2	39	khudoynazarov	khudoynazarov	PROPN
fumecheng-12394	2	40	samarkand	samarkand	PROPN
fumecheng-12394	2	41	state	state	PROPN
fumecheng-12394	2	42	university	university	PROPN
fumecheng-12394	2	43	,	,	PUNCT
fumecheng-12394	2	44	uzbekistan	uzbekistan	PROPN
fumecheng-12394	2	45	orcid	orcid	PROPN
fumecheng-12394	3	1	i	i	PRON
fumecheng-12394	3	2	d	d	NOUN
fumecheng-12394	3	3	:	:	PUNCT
fumecheng-12394	3	4	khayrulla	khayrulla	PROPN
fumecheng-12394	3	5	khudoynazarov	khudoynazarov	PROPN
fumecheng-12394	3	6	https://orcid.org/0000-0001-8994-9738	https://orcid.org/0000-0001-8994-9738	VERB
fumecheng-12394	3	7	abstract	abstract	ADV
fumecheng-12394	3	8	.	.	PUNCT
fumecheng-12394	4	1	the	the	DET
fumecheng-12394	4	2	paper	paper	NOUN
fumecheng-12394	4	3	considers	consider	VERB
fumecheng-12394	4	4	a	a	DET
fumecheng-12394	4	5	cylindrical	cylindrical	ADJ
fumecheng-12394	4	6	three	three	NUM
fumecheng-12394	4	7	-	-	PUNCT
fumecheng-12394	4	8	layer	layer	NOUN
fumecheng-12394	4	9	structure	structure	NOUN
fumecheng-12394	4	10	of	of	ADP
fumecheng-12394	4	11	arbitrary	arbitrary	ADJ
fumecheng-12394	4	12	thickness	thickness	NOUN
fumecheng-12394	4	13	made	make	VERB
fumecheng-12394	4	14	of	of	ADP
fumecheng-12394	4	15	viscoelastic	viscoelastic	ADJ
fumecheng-12394	4	16	material	material	NOUN
fumecheng-12394	4	17	.	.	PUNCT
fumecheng-12394	5	1	it	it	PRON
fumecheng-12394	5	2	consists	consist	VERB
fumecheng-12394	5	3	of	of	ADP
fumecheng-12394	5	4	two	two	NUM
fumecheng-12394	5	5	external	external	ADJ
fumecheng-12394	5	6	bearing	bear	VERB
fumecheng-12394	5	7	layers	layer	NOUN
fumecheng-12394	5	8	and	and	CCONJ
fumecheng-12394	5	9	a	a	DET
fumecheng-12394	5	10	middle	middle	ADJ
fumecheng-12394	5	11	layer	layer	NOUN
fumecheng-12394	5	12	,	,	PUNCT
fumecheng-12394	5	13	the	the	DET
fumecheng-12394	5	14	materials	material	NOUN
fumecheng-12394	5	15	of	of	ADP
fumecheng-12394	5	16	which	which	PRON
fumecheng-12394	5	17	are	be	AUX
fumecheng-12394	5	18	generally	generally	ADV
fumecheng-12394	5	19	different	different	ADJ
fumecheng-12394	5	20	.	.	PUNCT
fumecheng-12394	6	1	the	the	DET
fumecheng-12394	6	2	problem	problem	NOUN
fumecheng-12394	6	3	of	of	ADP
fumecheng-12394	6	4	nonstationary	nonstationary	ADJ
fumecheng-12394	6	5	longitudinal	longitudinal	ADJ
fumecheng-12394	6	6	-	-	PUNCT
fumecheng-12394	6	7	radial	radial	ADJ
fumecheng-12394	6	8	vibrations	vibration	NOUN
fumecheng-12394	6	9	of	of	ADP
fumecheng-12394	6	10	such	such	DET
fumecheng-12394	6	11	a	a	DET
fumecheng-12394	6	12	structure	structure	NOUN
fumecheng-12394	6	13	is	be	AUX
fumecheng-12394	6	14	formulated	formulate	VERB
fumecheng-12394	6	15	.	.	PUNCT
fumecheng-12394	7	1	based	base	VERB
fumecheng-12394	7	2	on	on	ADP
fumecheng-12394	7	3	the	the	DET
fumecheng-12394	7	4	exact	exact	ADJ
fumecheng-12394	7	5	solutions	solution	NOUN
fumecheng-12394	7	6	in	in	ADP
fumecheng-12394	7	7	transformations	transformation	NOUN
fumecheng-12394	7	8	of	of	ADP
fumecheng-12394	7	9	the	the	DET
fumecheng-12394	7	10	three	three	NUM
fumecheng-12394	7	11	-	-	PUNCT
fumecheng-12394	7	12	dimensional	dimensional	ADJ
fumecheng-12394	7	13	problem	problem	NOUN
fumecheng-12394	7	14	of	of	ADP
fumecheng-12394	7	15	the	the	DET
fumecheng-12394	7	16	linear	linear	PROPN
fumecheng-12394	7	17	theory	theory	NOUN
fumecheng-12394	7	18	of	of	ADP
fumecheng-12394	7	19	viscoelasticity	viscoelasticity	NOUN
fumecheng-12394	7	20	for	for	ADP
fumecheng-12394	7	21	a	a	DET
fumecheng-12394	7	22	circular	circular	ADJ
fumecheng-12394	7	23	cylindrical	cylindrical	ADJ
fumecheng-12394	7	24	three	three	NUM
fumecheng-12394	7	25	-	-	PUNCT
fumecheng-12394	7	26	layer	layer	NOUN
fumecheng-12394	7	27	body	body	NOUN
fumecheng-12394	7	28	,	,	PUNCT
fumecheng-12394	7	29	a	a	DET
fumecheng-12394	7	30	mathematical	mathematical	ADJ
fumecheng-12394	7	31	model	model	NOUN
fumecheng-12394	7	32	of	of	ADP
fumecheng-12394	7	33	its	its	PRON
fumecheng-12394	7	34	nonstationary	nonstationary	ADJ
fumecheng-12394	7	35	longitudinal	longitudinal	ADJ
fumecheng-12394	7	36	-	-	PUNCT
fumecheng-12394	7	37	radial	radial	ADJ
fumecheng-12394	7	38	vibrations	vibration	NOUN
fumecheng-12394	7	39	is	be	AUX
fumecheng-12394	7	40	developed	develop	VERB
fumecheng-12394	7	41	.	.	PUNCT
fumecheng-12394	8	1	equations	equation	NOUN
fumecheng-12394	8	2	are	be	AUX
fumecheng-12394	8	3	derived	derive	VERB
fumecheng-12394	8	4	that	that	PRON
fumecheng-12394	8	5	allow	allow	VERB
fumecheng-12394	8	6	,	,	PUNCT
fumecheng-12394	8	7	based	base	VERB
fumecheng-12394	8	8	on	on	ADP
fumecheng-12394	8	9	the	the	DET
fumecheng-12394	8	10	results	result	NOUN
fumecheng-12394	8	11	of	of	ADP
fumecheng-12394	8	12	solving	solve	VERB
fumecheng-12394	8	13	the	the	DET
fumecheng-12394	8	14	vibration	vibration	NOUN
fumecheng-12394	8	15	equations	equation	NOUN
fumecheng-12394	8	16	,	,	PUNCT
fumecheng-12394	8	17	to	to	PART
fumecheng-12394	8	18	determine	determine	VERB
fumecheng-12394	8	19	the	the	DET
fumecheng-12394	8	20	stressstrain	stressstrain	NOUN
fumecheng-12394	8	21	state	state	NOUN
fumecheng-12394	8	22	of	of	ADP
fumecheng-12394	8	23	a	a	DET
fumecheng-12394	8	24	cylindrical	cylindrical	ADJ
fumecheng-12394	8	25	structure	structure	NOUN
fumecheng-12394	8	26	and	and	CCONJ
fumecheng-12394	8	27	its	its	PRON
fumecheng-12394	8	28	layers	layer	NOUN
fumecheng-12394	8	29	in	in	ADP
fumecheng-12394	8	30	arbitrary	arbitrary	ADJ
fumecheng-12394	8	31	sections	section	NOUN
fumecheng-12394	8	32	.	.	PUNCT
fumecheng-12394	9	1	the	the	DET
fumecheng-12394	9	2	results	result	NOUN
fumecheng-12394	9	3	obtained	obtain	VERB
fumecheng-12394	9	4	allow	allow	VERB
fumecheng-12394	9	5	for	for	ADP
fumecheng-12394	9	6	special	special	ADJ
fumecheng-12394	9	7	cases	case	NOUN
fumecheng-12394	9	8	of	of	ADP
fumecheng-12394	9	9	transition	transition	NOUN
fumecheng-12394	9	10	into	into	ADP
fumecheng-12394	9	11	cylindrical	cylindrical	ADJ
fumecheng-12394	9	12	viscoelastic	viscoelastic	NOUN
fumecheng-12394	9	13	and	and	CCONJ
fumecheng-12394	9	14	elastic	elastic	ADJ
fumecheng-12394	9	15	twolayer	twolayer	NOUN
fumecheng-12394	9	16	structures	structure	NOUN
fumecheng-12394	9	17	,	,	PUNCT
fumecheng-12394	9	18	as	as	ADV
fumecheng-12394	9	19	well	well	ADV
fumecheng-12394	9	20	as	as	ADP
fumecheng-12394	9	21	into	into	ADP
fumecheng-12394	9	22	homogeneous	homogeneous	ADJ
fumecheng-12394	9	23	single	single	ADJ
fumecheng-12394	9	24	-	-	PUNCT
fumecheng-12394	9	25	layer	layer	NOUN
fumecheng-12394	9	26	cylindrical	cylindrical	ADJ
fumecheng-12394	9	27	structures	structure	NOUN
fumecheng-12394	9	28	and	and	CCONJ
fumecheng-12394	9	29	round	round	ADJ
fumecheng-12394	9	30	rods	rod	NOUN
fumecheng-12394	9	31	.	.	PUNCT
fumecheng-12394	10	1	key	key	ADJ
fumecheng-12394	10	2	words	word	NOUN
fumecheng-12394	10	3	:	:	PUNCT
fumecheng-12394	10	4	three	three	NUM
fumecheng-12394	10	5	-	-	PUNCT
fumecheng-12394	10	6	layer	layer	NOUN
fumecheng-12394	10	7	structure	structure	NOUN
fumecheng-12394	10	8	,	,	PUNCT
fumecheng-12394	10	9	vibration	vibration	NOUN
fumecheng-12394	10	10	,	,	PUNCT
fumecheng-12394	10	11	stress	stress	NOUN
fumecheng-12394	10	12	,	,	PUNCT
fumecheng-12394	10	13	torsional	torsional	ADJ
fumecheng-12394	10	14	displacement	displacement	NOUN
fumecheng-12394	10	15	,	,	PUNCT
fumecheng-12394	10	16	loadbearing	loadbearing	NOUN
fumecheng-12394	10	17	layers	layer	NOUN
fumecheng-12394	10	18	,	,	PUNCT
fumecheng-12394	10	19	non	non	ADJ
fumecheng-12394	10	20	-	-	ADJ
fumecheng-12394	10	21	stationary	stationary	ADJ
fumecheng-12394	10	22	1	1	NUM
fumecheng-12394	10	23	.	.	PUNCT
fumecheng-12394	10	24	introduction	introduction	NOUN
fumecheng-12394	10	25	three	three	NUM
fumecheng-12394	10	26	-	-	PUNCT
fumecheng-12394	10	27	layer	layer	NOUN
fumecheng-12394	10	28	structural	structural	ADJ
fumecheng-12394	10	29	elements	element	NOUN
fumecheng-12394	10	30	are	be	AUX
fumecheng-12394	10	31	widely	widely	ADV
fumecheng-12394	10	32	used	use	VERB
fumecheng-12394	10	33	in	in	ADP
fumecheng-12394	10	34	aviation	aviation	NOUN
fumecheng-12394	10	35	and	and	CCONJ
fumecheng-12394	10	36	shipbuilding	shipbuilding	NOUN
fumecheng-12394	10	37	,	,	PUNCT
fumecheng-12394	10	38	construction	construction	NOUN
fumecheng-12394	10	39	of	of	ADP
fumecheng-12394	10	40	buildings	building	NOUN
fumecheng-12394	10	41	and	and	CCONJ
fumecheng-12394	10	42	structures	structure	NOUN
fumecheng-12394	10	43	,	,	PUNCT
fumecheng-12394	10	44	the	the	DET
fumecheng-12394	10	45	space	space	NOUN
fumecheng-12394	10	46	industry	industry	NOUN
fumecheng-12394	10	47	and	and	CCONJ
fumecheng-12394	10	48	other	other	ADJ
fumecheng-12394	10	49	industries	industry	NOUN
fumecheng-12394	10	50	[	[	X
fumecheng-12394	10	51	1,2	1,2	NUM
fumecheng-12394	10	52	]	]	PUNCT
fumecheng-12394	10	53	.	.	PUNCT
fumecheng-12394	11	1	therefore	therefore	ADV
fumecheng-12394	11	2	,	,	PUNCT
fumecheng-12394	11	3	the	the	DET
fumecheng-12394	11	4	problem	problem	NOUN
fumecheng-12394	11	5	of	of	ADP
fumecheng-12394	11	6	developing	develop	VERB
fumecheng-12394	11	7	effective	effective	ADJ
fumecheng-12394	11	8	methods	method	NOUN
fumecheng-12394	11	9	for	for	ADP
fumecheng-12394	11	10	calculating	calculate	VERB
fumecheng-12394	11	11	the	the	DET
fumecheng-12394	11	12	stress	stress	NOUN
fumecheng-12394	11	13	-	-	PUNCT
fumecheng-12394	11	14	strain	strain	NOUN
fumecheng-12394	11	15	state	state	NOUN
fumecheng-12394	11	16	of	of	ADP
fumecheng-12394	11	17	three	three	NUM
fumecheng-12394	11	18	-	-	PUNCT
fumecheng-12394	11	19	layer	layer	NOUN
fumecheng-12394	11	20	structural	structural	ADJ
fumecheng-12394	11	21	elements	element	NOUN
fumecheng-12394	11	22	,	,	PUNCT
fumecheng-12394	11	23	as	as	ADV
fumecheng-12394	11	24	well	well	ADV
fumecheng-12394	11	25	as	as	ADP
fumecheng-12394	11	26	generalizing	generalize	VERB
fumecheng-12394	11	27	classical	classical	ADJ
fumecheng-12394	11	28	theories	theory	NOUN
fumecheng-12394	11	29	using	use	VERB
fumecheng-12394	11	30	refined	refined	ADJ
fumecheng-12394	11	31	models	model	NOUN
fumecheng-12394	11	32	reflecting	reflect	VERB
fumecheng-12394	11	33	the	the	DET
fumecheng-12394	11	34	dynamic	dynamic	ADJ
fumecheng-12394	11	35	behavior	behavior	NOUN
fumecheng-12394	11	36	of	of	ADP
fumecheng-12394	11	37	modern	modern	ADJ
fumecheng-12394	11	38	materials	material	NOUN
fumecheng-12394	11	39	,	,	PUNCT
fumecheng-12394	11	40	is	be	AUX
fumecheng-12394	11	41	urgent	urgent	ADJ
fumecheng-12394	11	42	[	[	X
fumecheng-12394	11	43	3,4	3,4	NUM
fumecheng-12394	11	44	]	]	PUNCT
fumecheng-12394	11	45	.	.	PUNCT
fumecheng-12394	12	1	in	in	ADP
fumecheng-12394	12	2	this	this	DET
fumecheng-12394	12	3	regard	regard	NOUN
fumecheng-12394	12	4	,	,	PUNCT
fumecheng-12394	12	5	cylindrical	cylindrical	ADJ
fumecheng-12394	12	6	structures	structure	NOUN
fumecheng-12394	12	7	and	and	CCONJ
fumecheng-12394	12	8	round	round	ADJ
fumecheng-12394	12	9	rods	rod	NOUN
fumecheng-12394	12	10	are	be	AUX
fumecheng-12394	12	11	one	one	NUM
fumecheng-12394	12	12	of	of	ADP
fumecheng-12394	12	13	the	the	DET
fumecheng-12394	12	14	main	main	ADJ
fumecheng-12394	12	15	elements	element	NOUN
fumecheng-12394	12	16	of	of	ADP
fumecheng-12394	12	17	various	various	ADJ
fumecheng-12394	12	18	engineering	engineering	NOUN
fumecheng-12394	12	19	structures	structure	NOUN
fumecheng-12394	12	20	[	[	X
fumecheng-12394	12	21	5	5	NUM
fumecheng-12394	12	22	]	]	PUNCT
fumecheng-12394	12	23	and	and	CCONJ
fumecheng-12394	12	24	studies	study	NOUN
fumecheng-12394	12	25	of	of	ADP
fumecheng-12394	12	26	their	their	PRON
fumecheng-12394	12	27	dynamic	dynamic	ADJ
fumecheng-12394	12	28	behavior	behavior	NOUN
fumecheng-12394	12	29	have	have	VERB
fumecheng-12394	12	30	important	important	ADJ
fumecheng-12394	12	31	applied	apply	VERB
fumecheng-12394	12	32	values	value	NOUN
fumecheng-12394	13	1	[	[	X
fumecheng-12394	13	2	6,7	6,7	NUM
fumecheng-12394	13	3	]	]	PUNCT
fumecheng-12394	13	4	.	.	PUNCT
fumecheng-12394	14	1	such	such	ADJ
fumecheng-12394	14	2	elements	element	NOUN
fumecheng-12394	14	3	are	be	AUX
fumecheng-12394	14	4	often	often	ADV
fumecheng-12394	14	5	under	under	ADP
fumecheng-12394	14	6	the	the	DET
fumecheng-12394	14	7	influence	influence	NOUN
fumecheng-12394	14	8	of	of	ADP
fumecheng-12394	14	9	dynamic	dynamic	ADJ
fumecheng-12394	14	10	loads	load	NOUN
fumecheng-12394	14	11	during	during	ADP
fumecheng-12394	14	12	operation	operation	NOUN
fumecheng-12394	14	13	,	,	PUNCT
fumecheng-12394	14	14	which	which	PRON
fumecheng-12394	14	15	lead	lead	VERB
fumecheng-12394	14	16	to	to	ADP
fumecheng-12394	14	17	their	their	PRON
fumecheng-12394	14	18	vibrations	vibration	NOUN
fumecheng-12394	14	19	[	[	X
fumecheng-12394	14	20	8,9	8,9	NUM
fumecheng-12394	14	21	]	]	PUNCT
fumecheng-12394	14	22	.	.	PUNCT
fumecheng-12394	15	1	recently	recently	ADV
fumecheng-12394	15	2	,	,	PUNCT
fumecheng-12394	15	3	special	special	ADJ
fumecheng-12394	15	4	attention	attention	NOUN
fumecheng-12394	15	5	has	have	AUX
fumecheng-12394	15	6	been	be	AUX
fumecheng-12394	15	7	given	give	VERB
fumecheng-12394	15	8	to	to	PART
fumecheng-12394	15	9	study	study	VERB
fumecheng-12394	15	10	vibrations	vibration	NOUN
fumecheng-12394	15	11	of	of	ADP
fumecheng-12394	15	12	layered	layered	ADJ
fumecheng-12394	15	13	structures	structure	NOUN
fumecheng-12394	15	14	made	make	VERB
fumecheng-12394	15	15	of	of	ADP
fumecheng-12394	15	16	homogeneous	homogeneous	ADJ
fumecheng-12394	15	17	and	and	CCONJ
fumecheng-12394	15	18	functionally	functionally	ADV
fumecheng-12394	15	19	graded	grade	VERB
fumecheng-12394	15	20	materials	material	NOUN
fumecheng-12394	15	21	(	(	PUNCT
fumecheng-12394	15	22	fgm	fgm	PROPN
fumecheng-12394	15	23	)	)	PUNCT
fumecheng-12394	16	1	[	[	X
fumecheng-12394	16	2	10	10	NUM
fumecheng-12394	16	3	]	]	PUNCT
fumecheng-12394	16	4	.	.	PUNCT
fumecheng-12394	17	1	these	these	PRON
fumecheng-12394	17	2	include	include	VERB
fumecheng-12394	17	3	works	work	NOUN
fumecheng-12394	17	4	where	where	SCONJ
fumecheng-12394	17	5	vibrations	vibration	NOUN
fumecheng-12394	17	6	of	of	ADP
fumecheng-12394	17	7	three	three	NUM
fumecheng-12394	17	8	-	-	PUNCT
fumecheng-12394	17	9	layer	layer	NOUN
fumecheng-12394	17	10	plates	plate	NOUN
fumecheng-12394	17	11	are	be	AUX
fumecheng-12394	17	12	considered	consider	VERB
fumecheng-12394	17	13	,	,	PUNCT
fumecheng-12394	17	14	considering	consider	VERB
fumecheng-12394	17	15	imperfect	imperfect	ADJ
fumecheng-12394	17	16	[	[	X
fumecheng-12394	17	17	11	11	NUM
fumecheng-12394	17	18	]	]	PUNCT
fumecheng-12394	17	19	,	,	PUNCT
fumecheng-12394	17	20	slipping	slip	VERB
fumecheng-12394	17	21	received	receive	VERB
fumecheng-12394	17	22	:	:	PUNCT
fumecheng-12394	17	23	december	december	PROPN
fumecheng-12394	17	24	19	19	NUM
fumecheng-12394	17	25	,	,	PUNCT
fumecheng-12394	17	26	2023	2023	NUM
fumecheng-12394	17	27	/	/	SYM
fumecheng-12394	17	28	accepted	accept	VERB
fumecheng-12394	17	29	march	march	NOUN
fumecheng-12394	17	30	03	03	NUM
fumecheng-12394	17	31	,	,	PUNCT
fumecheng-12394	17	32	2024	2024	NUM
fumecheng-12394	17	33	corresponding	correspond	VERB
fumecheng-12394	17	34	author	author	NOUN
fumecheng-12394	17	35	:	:	PUNCT
fumecheng-12394	17	36	khayrulla	khayrulla	PROPN
fumecheng-12394	17	37	khudoynazarov	khudoynazarov	PROPN
fumecheng-12394	17	38	samarkand	samarkand	PROPN
fumecheng-12394	17	39	state	state	PROPN
fumecheng-12394	17	40	university	university	PROPN
fumecheng-12394	17	41	,	,	PUNCT
fumecheng-12394	17	42	100104	100104	NUM
fumecheng-12394	17	43	,	,	PUNCT
fumecheng-12394	17	44	15	15	NUM
fumecheng-12394	17	45	university	university	NOUN
fumecheng-12394	17	46	boulevard	boulevard	NOUN
fumecheng-12394	17	47	,	,	PUNCT
fumecheng-12394	17	48	samarkand	samarkand	PROPN
fumecheng-12394	17	49	,	,	PUNCT
fumecheng-12394	17	50	uzbekistan	uzbekistan	PROPN
fumecheng-12394	17	51	e	e	PROPN
fumecheng-12394	17	52	-	-	NOUN
fumecheng-12394	17	53	mail	mail	NOUN
fumecheng-12394	17	54	:	:	PUNCT
fumecheng-12394	17	55	kh.khudoyn@gmail.com	kh.khudoyn@gmail.com	PROPN
fumecheng-12394	17	56	https://orcid.org/0000-0001-8994-9738	https://orcid.org/0000-0001-8994-9738	PROPN
fumecheng-12394	17	57	https://e.mail.ru/compose/?mailto=mailto%3akh.khudoyn@gmail.com	https://e.mail.ru/compose/?mailto=mailto%3akh.khudoyn@gmail.com	X
fumecheng-12394	18	1	474	474	NUM
fumecheng-12394	18	2	kh	kh	PROPN
fumecheng-12394	18	3	.	.	PUNCT
fumecheng-12394	19	1	khudoynazarov	khudoynazarov	PROPN
fumecheng-12394	20	1	[	[	X
fumecheng-12394	20	2	12	12	NUM
fumecheng-12394	20	3	]	]	X
fumecheng-12394	20	4	contacts	contact	NOUN
fumecheng-12394	20	5	between	between	ADP
fumecheng-12394	20	6	layers	layer	NOUN
fumecheng-12394	20	7	,	,	PUNCT
fumecheng-12394	20	8	cylindrical	cylindrical	ADJ
fumecheng-12394	20	9	[	[	X
fumecheng-12394	20	10	13	13	NUM
fumecheng-12394	20	11	]	]	PUNCT
fumecheng-12394	20	12	and	and	CCONJ
fumecheng-12394	20	13	conical	conical	NOUN
fumecheng-12394	20	14	[	[	X
fumecheng-12394	20	15	14	14	NUM
fumecheng-12394	20	16	]	]	PUNCT
fumecheng-12394	20	17	fgm	fgm	PROPN
fumecheng-12394	20	18	shells	shell	NOUN
fumecheng-12394	20	19	.	.	PUNCT
fumecheng-12394	21	1	in	in	ADP
fumecheng-12394	21	2	studies	study	NOUN
fumecheng-12394	21	3	devoted	devote	VERB
fumecheng-12394	21	4	to	to	ADP
fumecheng-12394	21	5	the	the	DET
fumecheng-12394	21	6	dynamic	dynamic	ADJ
fumecheng-12394	21	7	behavior	behavior	NOUN
fumecheng-12394	21	8	of	of	ADP
fumecheng-12394	21	9	elements	element	NOUN
fumecheng-12394	21	10	of	of	ADP
fumecheng-12394	21	11	engineering	engineering	NOUN
fumecheng-12394	21	12	structures	structure	NOUN
fumecheng-12394	21	13	,	,	PUNCT
fumecheng-12394	21	14	it	it	PRON
fumecheng-12394	21	15	is	be	AUX
fumecheng-12394	21	16	important	important	ADJ
fumecheng-12394	21	17	to	to	PART
fumecheng-12394	21	18	develop	develop	VERB
fumecheng-12394	21	19	mathematical	mathematical	ADJ
fumecheng-12394	21	20	foundations	foundation	NOUN
fumecheng-12394	21	21	for	for	ADP
fumecheng-12394	21	22	such	such	ADJ
fumecheng-12394	21	23	structures	structure	NOUN
fumecheng-12394	21	24	[	[	X
fumecheng-12394	21	25	15,16	15,16	NUM
fumecheng-12394	21	26	]	]	PUNCT
fumecheng-12394	21	27	for	for	ADP
fumecheng-12394	21	28	design	design	NOUN
fumecheng-12394	21	29	of	of	ADP
fumecheng-12394	21	30	new	new	ADJ
fumecheng-12394	21	31	generations	generation	NOUN
fumecheng-12394	21	32	of	of	ADP
fumecheng-12394	21	33	improved	improved	ADJ
fumecheng-12394	21	34	lightweight	lightweight	ADJ
fumecheng-12394	21	35	structural	structural	ADJ
fumecheng-12394	21	36	materials	material	NOUN
fumecheng-12394	21	37	[	[	X
fumecheng-12394	21	38	17	17	NUM
fumecheng-12394	21	39	]	]	PUNCT
fumecheng-12394	21	40	.	.	PUNCT
fumecheng-12394	22	1	one	one	NUM
fumecheng-12394	22	2	of	of	ADP
fumecheng-12394	22	3	the	the	DET
fumecheng-12394	22	4	main	main	ADJ
fumecheng-12394	22	5	problems	problem	NOUN
fumecheng-12394	22	6	in	in	ADP
fumecheng-12394	22	7	the	the	DET
fumecheng-12394	22	8	study	study	NOUN
fumecheng-12394	22	9	of	of	ADP
fumecheng-12394	22	10	the	the	DET
fumecheng-12394	22	11	static	static	ADJ
fumecheng-12394	22	12	and	and	CCONJ
fumecheng-12394	22	13	dynamic	dynamic	ADJ
fumecheng-12394	22	14	behavior	behavior	NOUN
fumecheng-12394	22	15	of	of	ADP
fumecheng-12394	22	16	shells	shell	NOUN
fumecheng-12394	22	17	and	and	CCONJ
fumecheng-12394	22	18	rods	rod	NOUN
fumecheng-12394	22	19	is	be	AUX
fumecheng-12394	22	20	the	the	DET
fumecheng-12394	22	21	choice	choice	NOUN
fumecheng-12394	22	22	of	of	ADP
fumecheng-12394	22	23	vibration	vibration	NOUN
fumecheng-12394	22	24	equations	equation	NOUN
fumecheng-12394	22	25	,	,	PUNCT
fumecheng-12394	22	26	which	which	PRON
fumecheng-12394	22	27	should	should	AUX
fumecheng-12394	22	28	be	be	AUX
fumecheng-12394	22	29	implemented	implement	VERB
fumecheng-12394	22	30	based	base	VERB
fumecheng-12394	22	31	on	on	ADP
fumecheng-12394	22	32	the	the	DET
fumecheng-12394	22	33	specific	specific	ADJ
fumecheng-12394	22	34	physical	physical	ADJ
fumecheng-12394	22	35	and	and	CCONJ
fumecheng-12394	22	36	mechanical	mechanical	ADJ
fumecheng-12394	22	37	properties	property	NOUN
fumecheng-12394	22	38	of	of	ADP
fumecheng-12394	22	39	their	their	PRON
fumecheng-12394	22	40	materials	material	NOUN
fumecheng-12394	22	41	[	[	X
fumecheng-12394	22	42	18	18	NUM
fumecheng-12394	22	43	]	]	PUNCT
fumecheng-12394	22	44	.	.	PUNCT
fumecheng-12394	23	1	various	various	ADJ
fumecheng-12394	23	2	methods	method	NOUN
fumecheng-12394	23	3	of	of	ADP
fumecheng-12394	23	4	derivation	derivation	NOUN
fumecheng-12394	23	5	of	of	ADP
fumecheng-12394	23	6	vibration	vibration	NOUN
fumecheng-12394	23	7	equations	equation	NOUN
fumecheng-12394	23	8	are	be	AUX
fumecheng-12394	23	9	used	use	VERB
fumecheng-12394	23	10	.	.	PUNCT
fumecheng-12394	24	1	one	one	NUM
fumecheng-12394	24	2	of	of	ADP
fumecheng-12394	24	3	these	these	DET
fumecheng-12394	24	4	methods	method	NOUN
fumecheng-12394	24	5	is	be	AUX
fumecheng-12394	24	6	the	the	DET
fumecheng-12394	24	7	method	method	NOUN
fumecheng-12394	24	8	of	of	ADP
fumecheng-12394	24	9	using	use	VERB
fumecheng-12394	24	10	general	general	ADJ
fumecheng-12394	24	11	solutions	solution	NOUN
fumecheng-12394	24	12	in	in	ADP
fumecheng-12394	24	13	transformations	transformation	NOUN
fumecheng-12394	24	14	of	of	ADP
fumecheng-12394	24	15	three	three	NUM
fumecheng-12394	24	16	-	-	PUNCT
fumecheng-12394	24	17	dimensional	dimensional	ADJ
fumecheng-12394	24	18	problems	problem	NOUN
fumecheng-12394	24	19	of	of	ADP
fumecheng-12394	24	20	elasticity	elasticity	NOUN
fumecheng-12394	24	21	theory	theory	NOUN
fumecheng-12394	24	22	[	[	X
fumecheng-12394	24	23	19,20	19,20	NOUN
fumecheng-12394	24	24	]	]	PUNCT
fumecheng-12394	24	25	.	.	PUNCT
fumecheng-12394	25	1	the	the	DET
fumecheng-12394	25	2	essence	essence	NOUN
fumecheng-12394	25	3	of	of	ADP
fumecheng-12394	25	4	the	the	DET
fumecheng-12394	25	5	method	method	NOUN
fumecheng-12394	25	6	is	be	AUX
fumecheng-12394	25	7	to	to	PART
fumecheng-12394	25	8	study	study	VERB
fumecheng-12394	25	9	the	the	DET
fumecheng-12394	25	10	constructed	construct	VERB
fumecheng-12394	25	11	solutions	solution	NOUN
fumecheng-12394	25	12	for	for	ADP
fumecheng-12394	25	13	various	various	ADJ
fumecheng-12394	25	14	types	type	NOUN
fumecheng-12394	25	15	of	of	ADP
fumecheng-12394	25	16	external	external	ADJ
fumecheng-12394	25	17	influences	influence	NOUN
fumecheng-12394	25	18	[	[	X
fumecheng-12394	25	19	21	21	NUM
fumecheng-12394	25	20	]	]	PUNCT
fumecheng-12394	25	21	and	and	CCONJ
fumecheng-12394	25	22	to	to	PART
fumecheng-12394	25	23	clarify	clarify	VERB
fumecheng-12394	25	24	the	the	DET
fumecheng-12394	25	25	conditions	condition	NOUN
fumecheng-12394	25	26	under	under	ADP
fumecheng-12394	25	27	which	which	PRON
fumecheng-12394	25	28	the	the	DET
fumecheng-12394	25	29	displacements	displacement	NOUN
fumecheng-12394	25	30	or	or	CCONJ
fumecheng-12394	25	31	their	their	PRON
fumecheng-12394	25	32	“	"	PUNCT
fumecheng-12394	25	33	main	main	ADJ
fumecheng-12394	25	34	parts	part	NOUN
fumecheng-12394	25	35	”	"	PUNCT
fumecheng-12394	25	36	satisfy	satisfy	NOUN
fumecheng-12394	25	37	simple	simple	ADJ
fumecheng-12394	25	38	vibration	vibration	NOUN
fumecheng-12394	25	39	equations	equation	NOUN
fumecheng-12394	25	40	,	,	PUNCT
fumecheng-12394	25	41	and	and	CCONJ
fumecheng-12394	25	42	to	to	PART
fumecheng-12394	25	43	find	find	VERB
fumecheng-12394	25	44	an	an	DET
fumecheng-12394	25	45	algorithm	algorithm	NOUN
fumecheng-12394	25	46	that	that	PRON
fumecheng-12394	25	47	allows	allow	VERB
fumecheng-12394	25	48	calculating	calculate	VERB
fumecheng-12394	25	49	approximate	approximate	ADJ
fumecheng-12394	25	50	values	value	NOUN
fumecheng-12394	25	51	of	of	ADP
fumecheng-12394	25	52	displacement	displacement	NOUN
fumecheng-12394	25	53	and	and	CCONJ
fumecheng-12394	25	54	stress	stress	NOUN
fumecheng-12394	25	55	fields	field	NOUN
fumecheng-12394	25	56	in	in	ADP
fumecheng-12394	25	57	any	any	DET
fumecheng-12394	25	58	cross	cross	NOUN
fumecheng-12394	25	59	section	section	NOUN
fumecheng-12394	25	60	for	for	ADP
fumecheng-12394	25	61	an	an	DET
fumecheng-12394	25	62	arbitrary	arbitrary	ADJ
fumecheng-12394	25	63	a	a	DET
fumecheng-12394	25	64	moment	moment	NOUN
fumecheng-12394	25	65	in	in	ADP
fumecheng-12394	25	66	time	time	NOUN
fumecheng-12394	25	67	.	.	PUNCT
fumecheng-12394	26	1	similar	similar	ADJ
fumecheng-12394	26	2	studies	study	NOUN
fumecheng-12394	26	3	,	,	PUNCT
fumecheng-12394	26	4	but	but	CCONJ
fumecheng-12394	26	5	considering	consider	VERB
fumecheng-12394	26	6	more	more	ADV
fumecheng-12394	26	7	complex	complex	ADJ
fumecheng-12394	26	8	physical	physical	ADJ
fumecheng-12394	26	9	and	and	CCONJ
fumecheng-12394	26	10	mechanical	mechanical	ADJ
fumecheng-12394	26	11	properties	property	NOUN
fumecheng-12394	26	12	,	,	PUNCT
fumecheng-12394	26	13	in	in	ADP
fumecheng-12394	26	14	particular	particular	ADJ
fumecheng-12394	26	15	viscoelastic	viscoelastic	ADJ
fumecheng-12394	26	16	ones	one	NOUN
fumecheng-12394	26	17	,	,	PUNCT
fumecheng-12394	26	18	are	be	AUX
fumecheng-12394	26	19	considered	consider	VERB
fumecheng-12394	26	20	in	in	ADP
fumecheng-12394	26	21	[	[	X
fumecheng-12394	26	22	22,23	22,23	NOUN
fumecheng-12394	26	23	]	]	X
fumecheng-12394	26	24	.	.	PUNCT
fumecheng-12394	27	1	the	the	DET
fumecheng-12394	27	2	analysis	analysis	NOUN
fumecheng-12394	27	3	of	of	ADP
fumecheng-12394	27	4	the	the	DET
fumecheng-12394	27	5	behavior	behavior	NOUN
fumecheng-12394	27	6	of	of	ADP
fumecheng-12394	27	7	elements	element	NOUN
fumecheng-12394	27	8	of	of	ADP
fumecheng-12394	27	9	engineering	engineering	NOUN
fumecheng-12394	27	10	structures	structure	NOUN
fumecheng-12394	27	11	,	,	PUNCT
fumecheng-12394	27	12	taking	take	VERB
fumecheng-12394	27	13	into	into	ADP
fumecheng-12394	27	14	account	account	NOUN
fumecheng-12394	27	15	the	the	DET
fumecheng-12394	27	16	layering	layering	NOUN
fumecheng-12394	27	17	and	and	CCONJ
fumecheng-12394	27	18	heterogeneity	heterogeneity	NOUN
fumecheng-12394	27	19	of	of	ADP
fumecheng-12394	27	20	structures	structure	NOUN
fumecheng-12394	27	21	based	base	VERB
fumecheng-12394	27	22	on	on	ADP
fumecheng-12394	27	23	computational	computational	ADJ
fumecheng-12394	27	24	models	model	NOUN
fumecheng-12394	27	25	,	,	PUNCT
fumecheng-12394	27	26	is	be	AUX
fumecheng-12394	27	27	relevant	relevant	ADJ
fumecheng-12394	27	28	for	for	ADP
fumecheng-12394	27	29	applied	apply	VERB
fumecheng-12394	27	30	problems	problem	NOUN
fumecheng-12394	27	31	,	,	PUNCT
fumecheng-12394	27	32	as	as	SCONJ
fumecheng-12394	27	33	evidenced	evidence	VERB
fumecheng-12394	27	34	by	by	ADP
fumecheng-12394	27	35	publications	publication	NOUN
fumecheng-12394	27	36	[	[	X
fumecheng-12394	27	37	24,25	24,25	NUM
fumecheng-12394	27	38	]	]	PUNCT
fumecheng-12394	27	39	.	.	PUNCT
fumecheng-12394	28	1	in	in	ADP
fumecheng-12394	28	2	addition	addition	NOUN
fumecheng-12394	28	3	,	,	PUNCT
fumecheng-12394	28	4	a	a	DET
fumecheng-12394	28	5	fairly	fairly	ADV
fumecheng-12394	28	6	large	large	ADJ
fumecheng-12394	28	7	number	number	NOUN
fumecheng-12394	28	8	of	of	ADP
fumecheng-12394	28	9	studies	study	NOUN
fumecheng-12394	28	10	of	of	ADP
fumecheng-12394	28	11	shell	shell	ADJ
fumecheng-12394	28	12	dynamics	dynamic	NOUN
fumecheng-12394	28	13	are	be	AUX
fumecheng-12394	28	14	carried	carry	VERB
fumecheng-12394	28	15	out	out	ADP
fumecheng-12394	28	16	,	,	PUNCT
fumecheng-12394	28	17	which	which	PRON
fumecheng-12394	28	18	take	take	VERB
fumecheng-12394	28	19	into	into	ADP
fumecheng-12394	28	20	account	account	NOUN
fumecheng-12394	28	21	the	the	DET
fumecheng-12394	28	22	influence	influence	NOUN
fumecheng-12394	28	23	of	of	ADP
fumecheng-12394	28	24	hyperelastic	hyperelastic	ADJ
fumecheng-12394	29	1	[	[	X
fumecheng-12394	29	2	26	26	NUM
fumecheng-12394	29	3	]	]	PUNCT
fumecheng-12394	29	4	,	,	PUNCT
fumecheng-12394	29	5	anisotropic	anisotropic	NOUN
fumecheng-12394	29	6	,	,	PUNCT
fumecheng-12394	29	7	temperature	temperature	NOUN
fumecheng-12394	29	8	and	and	CCONJ
fumecheng-12394	29	9	other	other	ADJ
fumecheng-12394	29	10	physical	physical	ADJ
fumecheng-12394	29	11	and	and	CCONJ
fumecheng-12394	29	12	mechanical	mechanical	ADJ
fumecheng-12394	29	13	properties	property	NOUN
fumecheng-12394	29	14	of	of	ADP
fumecheng-12394	29	15	the	the	DET
fumecheng-12394	29	16	material	material	NOUN
fumecheng-12394	29	17	.	.	PUNCT
fumecheng-12394	30	1	thus	thus	ADV
fumecheng-12394	30	2	,	,	PUNCT
fumecheng-12394	30	3	it	it	PRON
fumecheng-12394	30	4	can	can	AUX
fumecheng-12394	30	5	be	be	AUX
fumecheng-12394	30	6	argued	argue	VERB
fumecheng-12394	30	7	that	that	SCONJ
fumecheng-12394	30	8	at	at	ADP
fumecheng-12394	30	9	present	present	NOUN
fumecheng-12394	30	10	there	there	PRON
fumecheng-12394	30	11	is	be	VERB
fumecheng-12394	30	12	a	a	DET
fumecheng-12394	30	13	very	very	ADV
fumecheng-12394	30	14	limited	limited	ADJ
fumecheng-12394	30	15	number	number	NOUN
fumecheng-12394	30	16	of	of	ADP
fumecheng-12394	30	17	works	work	NOUN
fumecheng-12394	30	18	devoted	devote	VERB
fumecheng-12394	30	19	to	to	ADP
fumecheng-12394	30	20	the	the	DET
fumecheng-12394	30	21	practically	practically	ADV
fumecheng-12394	30	22	important	important	ADJ
fumecheng-12394	30	23	task	task	NOUN
fumecheng-12394	30	24	of	of	ADP
fumecheng-12394	30	25	studying	study	VERB
fumecheng-12394	30	26	non	non	ADJ
fumecheng-12394	30	27	-	-	ADJ
fumecheng-12394	30	28	stationary	stationary	ADJ
fumecheng-12394	30	29	longitudinal	longitudinal	ADJ
fumecheng-12394	30	30	-	-	PUNCT
fumecheng-12394	30	31	radial	radial	ADJ
fumecheng-12394	30	32	vibrations	vibration	NOUN
fumecheng-12394	30	33	of	of	ADP
fumecheng-12394	30	34	cylindrical	cylindrical	ADJ
fumecheng-12394	30	35	three	three	NUM
fumecheng-12394	30	36	-	-	PUNCT
fumecheng-12394	30	37	layer	layer	NOUN
fumecheng-12394	30	38	structures	structure	NOUN
fumecheng-12394	30	39	of	of	ADP
fumecheng-12394	30	40	arbitrary	arbitrary	ADJ
fumecheng-12394	30	41	thickness	thickness	NOUN
fumecheng-12394	30	42	.	.	PUNCT
fumecheng-12394	31	1	therefore	therefore	ADV
fumecheng-12394	31	2	,	,	PUNCT
fumecheng-12394	31	3	the	the	DET
fumecheng-12394	31	4	problem	problem	NOUN
fumecheng-12394	31	5	of	of	ADP
fumecheng-12394	31	6	creating	create	VERB
fumecheng-12394	31	7	models	model	NOUN
fumecheng-12394	31	8	for	for	ADP
fumecheng-12394	31	9	the	the	DET
fumecheng-12394	31	10	dynamic	dynamic	ADJ
fumecheng-12394	31	11	calculation	calculation	NOUN
fumecheng-12394	31	12	of	of	ADP
fumecheng-12394	31	13	such	such	ADJ
fumecheng-12394	31	14	systems	system	NOUN
fumecheng-12394	31	15	under	under	ADP
fumecheng-12394	31	16	the	the	DET
fumecheng-12394	31	17	influence	influence	NOUN
fumecheng-12394	31	18	of	of	ADP
fumecheng-12394	31	19	dynamic	dynamic	ADJ
fumecheng-12394	31	20	loads	load	NOUN
fumecheng-12394	31	21	,	,	PUNCT
fumecheng-12394	31	22	taking	take	VERB
fumecheng-12394	31	23	into	into	ADP
fumecheng-12394	31	24	account	account	NOUN
fumecheng-12394	31	25	various	various	ADJ
fumecheng-12394	31	26	physical	physical	ADJ
fumecheng-12394	31	27	and	and	CCONJ
fumecheng-12394	31	28	mechanical	mechanical	ADJ
fumecheng-12394	31	29	properties	property	NOUN
fumecheng-12394	31	30	of	of	ADP
fumecheng-12394	31	31	their	their	PRON
fumecheng-12394	31	32	material	material	NOUN
fumecheng-12394	31	33	,	,	PUNCT
fumecheng-12394	31	34	is	be	AUX
fumecheng-12394	31	35	urgent	urgent	ADJ
fumecheng-12394	31	36	.	.	PUNCT
fumecheng-12394	32	1	in	in	ADP
fumecheng-12394	32	2	this	this	DET
fumecheng-12394	32	3	article	article	NOUN
fumecheng-12394	32	4	,	,	PUNCT
fumecheng-12394	32	5	a	a	DET
fumecheng-12394	32	6	circular	circular	ADJ
fumecheng-12394	32	7	cylindrical	cylindrical	ADJ
fumecheng-12394	32	8	three	three	NUM
fumecheng-12394	32	9	-	-	PUNCT
fumecheng-12394	32	10	layer	layer	NOUN
fumecheng-12394	32	11	viscoelastic	viscoelastic	ADJ
fumecheng-12394	32	12	structure	structure	NOUN
fumecheng-12394	32	13	of	of	ADP
fumecheng-12394	32	14	arbitrary	arbitrary	ADJ
fumecheng-12394	32	15	thickness	thickness	NOUN
fumecheng-12394	32	16	with	with	ADP
fumecheng-12394	32	17	sticking	stick	VERB
fumecheng-12394	32	18	condition	condition	NOUN
fumecheng-12394	32	19	between	between	ADP
fumecheng-12394	32	20	the	the	DET
fumecheng-12394	32	21	layers	layer	NOUN
fumecheng-12394	32	22	is	be	AUX
fumecheng-12394	32	23	considered	consider	VERB
fumecheng-12394	32	24	.	.	PUNCT
fumecheng-12394	33	1	the	the	DET
fumecheng-12394	33	2	task	task	NOUN
fumecheng-12394	33	3	is	be	AUX
fumecheng-12394	33	4	to	to	PART
fumecheng-12394	33	5	study	study	VERB
fumecheng-12394	33	6	its	its	PRON
fumecheng-12394	33	7	nonstationary	nonstationary	ADJ
fumecheng-12394	33	8	longitudinal	longitudinal	ADJ
fumecheng-12394	33	9	-	-	PUNCT
fumecheng-12394	33	10	radial	radial	ADJ
fumecheng-12394	33	11	vibrations	vibration	NOUN
fumecheng-12394	33	12	based	base	VERB
fumecheng-12394	33	13	on	on	ADP
fumecheng-12394	33	14	the	the	DET
fumecheng-12394	33	15	above	above	ADV
fumecheng-12394	33	16	-	-	PUNCT
fumecheng-12394	33	17	mentioned	mention	VERB
fumecheng-12394	33	18	method	method	NOUN
fumecheng-12394	33	19	of	of	ADP
fumecheng-12394	33	20	exact	exact	ADJ
fumecheng-12394	33	21	solutions	solution	NOUN
fumecheng-12394	33	22	in	in	ADP
fumecheng-12394	33	23	transformations	transformation	NOUN
fumecheng-12394	33	24	.	.	PUNCT
fumecheng-12394	34	1	it	it	PRON
fumecheng-12394	34	2	is	be	AUX
fumecheng-12394	34	3	envisaged	envisage	VERB
fumecheng-12394	34	4	to	to	PART
fumecheng-12394	34	5	build	build	VERB
fumecheng-12394	34	6	a	a	DET
fumecheng-12394	34	7	mathematical	mathematical	ADJ
fumecheng-12394	34	8	model	model	NOUN
fumecheng-12394	34	9	of	of	ADP
fumecheng-12394	34	10	it	it	PRON
fumecheng-12394	34	11	,	,	PUNCT
fumecheng-12394	34	12	including	include	VERB
fumecheng-12394	34	13	the	the	DET
fumecheng-12394	34	14	derivation	derivation	NOUN
fumecheng-12394	34	15	of	of	ADP
fumecheng-12394	34	16	general	general	ADJ
fumecheng-12394	34	17	and	and	CCONJ
fumecheng-12394	34	18	refined	refined	ADJ
fumecheng-12394	34	19	vibration	vibration	NOUN
fumecheng-12394	34	20	equations	equation	NOUN
fumecheng-12394	34	21	and	and	CCONJ
fumecheng-12394	34	22	the	the	DET
fumecheng-12394	34	23	creation	creation	NOUN
fumecheng-12394	34	24	of	of	ADP
fumecheng-12394	34	25	an	an	DET
fumecheng-12394	34	26	algorithm	algorithm	NOUN
fumecheng-12394	34	27	that	that	PRON
fumecheng-12394	34	28	allows	allow	VERB
fumecheng-12394	34	29	determining	determine	VERB
fumecheng-12394	34	30	the	the	DET
fumecheng-12394	34	31	stress	stress	NOUN
fumecheng-12394	34	32	-	-	PUNCT
fumecheng-12394	34	33	strain	strain	NOUN
fumecheng-12394	34	34	state	state	NOUN
fumecheng-12394	34	35	of	of	ADP
fumecheng-12394	34	36	an	an	DET
fumecheng-12394	34	37	arbitrary	arbitrary	ADJ
fumecheng-12394	34	38	section	section	NOUN
fumecheng-12394	34	39	of	of	ADP
fumecheng-12394	34	40	the	the	DET
fumecheng-12394	34	41	structure	structure	NOUN
fumecheng-12394	34	42	in	in	ADP
fumecheng-12394	34	43	coordinate	coordinate	NOUN
fumecheng-12394	34	44	and	and	CCONJ
fumecheng-12394	34	45	time	time	NOUN
fumecheng-12394	34	46	using	use	VERB
fumecheng-12394	34	47	the	the	DET
fumecheng-12394	34	48	field	field	NOUN
fumecheng-12394	34	49	of	of	ADP
fumecheng-12394	34	50	desired	desire	VERB
fumecheng-12394	34	51	functions	function	NOUN
fumecheng-12394	34	52	.	.	PUNCT
fumecheng-12394	35	1	2	2	X
fumecheng-12394	35	2	.	.	X
fumecheng-12394	35	3	mathematical	mathematical	ADJ
fumecheng-12394	35	4	model	model	NOUN
fumecheng-12394	35	5	of	of	ADP
fumecheng-12394	35	6	the	the	DET
fumecheng-12394	35	7	problem	problem	NOUN
fumecheng-12394	35	8	2.1	2.1	NUM
fumecheng-12394	35	9	.	.	PUNCT
fumecheng-12394	36	1	formulation	formulation	NOUN
fumecheng-12394	36	2	of	of	ADP
fumecheng-12394	36	3	the	the	DET
fumecheng-12394	36	4	problem	problem	NOUN
fumecheng-12394	36	5	in	in	ADP
fumecheng-12394	36	6	the	the	DET
fumecheng-12394	36	7	cylindrical	cylindrical	ADJ
fumecheng-12394	36	8	coordinate	coordinate	NOUN
fumecheng-12394	36	9	system	system	NOUN
fumecheng-12394	36	10	(	(	PUNCT
fumecheng-12394	36	11	r	r	NOUN
fumecheng-12394	36	12	,	,	PUNCT
fumecheng-12394	36	13	θ	θ	PROPN
fumecheng-12394	36	14	,	,	PUNCT
fumecheng-12394	36	15	z	z	NOUN
fumecheng-12394	36	16	)	)	PUNCT
fumecheng-12394	36	17	,	,	PUNCT
fumecheng-12394	36	18	a	a	DET
fumecheng-12394	36	19	three	three	NUM
fumecheng-12394	36	20	-	-	PUNCT
fumecheng-12394	36	21	layer	layer	NOUN
fumecheng-12394	36	22	circular	circular	ADJ
fumecheng-12394	36	23	cylindrical	cylindrical	ADJ
fumecheng-12394	36	24	structure	structure	NOUN
fumecheng-12394	36	25	made	make	VERB
fumecheng-12394	36	26	of	of	ADP
fumecheng-12394	36	27	viscoelastic	viscoelastic	ADJ
fumecheng-12394	36	28	material	material	NOUN
fumecheng-12394	36	29	is	be	AUX
fumecheng-12394	36	30	considered	consider	VERB
fumecheng-12394	36	31	.	.	PUNCT
fumecheng-12394	37	1	it	it	PRON
fumecheng-12394	37	2	is	be	AUX
fumecheng-12394	37	3	assumed	assume	VERB
fumecheng-12394	37	4	,	,	PUNCT
fumecheng-12394	37	5	that	that	SCONJ
fumecheng-12394	37	6	the	the	DET
fumecheng-12394	37	7	structure	structure	NOUN
fumecheng-12394	37	8	consists	consist	VERB
fumecheng-12394	37	9	of	of	ADP
fumecheng-12394	37	10	two	two	NUM
fumecheng-12394	37	11	layers	layer	NOUN
fumecheng-12394	37	12	,	,	PUNCT
fumecheng-12394	37	13	hereinafter	hereinafter	NOUN
fumecheng-12394	37	14	called	call	VERB
fumecheng-12394	37	15	load	load	NOUN
fumecheng-12394	37	16	-	-	PUNCT
fumecheng-12394	37	17	bearing	bear	VERB
fumecheng-12394	37	18	layers	layer	NOUN
fumecheng-12394	37	19	,	,	PUNCT
fumecheng-12394	37	20	which	which	PRON
fumecheng-12394	37	21	are	be	AUX
fumecheng-12394	37	22	separated	separate	VERB
fumecheng-12394	37	23	by	by	ADP
fumecheng-12394	37	24	a	a	DET
fumecheng-12394	37	25	certain	certain	ADJ
fumecheng-12394	37	26	distance	distance	NOUN
fumecheng-12394	37	27	using	use	VERB
fumecheng-12394	37	28	the	the	DET
fumecheng-12394	37	29	third	third	ADJ
fumecheng-12394	37	30	layer	layer	NOUN
fumecheng-12394	37	31	.	.	PUNCT
fumecheng-12394	38	1	the	the	DET
fumecheng-12394	38	2	intermediate	intermediate	ADJ
fumecheng-12394	38	3	layer	layer	NOUN
fumecheng-12394	38	4	holds	hold	VERB
fumecheng-12394	38	5	the	the	DET
fumecheng-12394	38	6	load	load	NOUN
fumecheng-12394	38	7	-	-	PUNCT
fumecheng-12394	38	8	bearing	bear	VERB
fumecheng-12394	38	9	layers	layer	NOUN
fumecheng-12394	38	10	at	at	ADP
fumecheng-12394	38	11	a	a	DET
fumecheng-12394	38	12	distance	distance	NOUN
fumecheng-12394	38	13	.	.	PUNCT
fumecheng-12394	39	1	the	the	DET
fumecheng-12394	39	2	axis	axis	NOUN
fumecheng-12394	39	3	oz	oz	X
fumecheng-12394	39	4	of	of	ADP
fumecheng-12394	39	5	the	the	DET
fumecheng-12394	39	6	coordinate	coordinate	NOUN
fumecheng-12394	39	7	system	system	NOUN
fumecheng-12394	39	8	is	be	AUX
fumecheng-12394	39	9	directed	direct	VERB
fumecheng-12394	39	10	along	along	ADP
fumecheng-12394	39	11	the	the	DET
fumecheng-12394	39	12	axis	axis	NOUN
fumecheng-12394	39	13	of	of	ADP
fumecheng-12394	39	14	symmetry	symmetry	NOUN
fumecheng-12394	39	15	of	of	ADP
fumecheng-12394	39	16	the	the	DET
fumecheng-12394	39	17	structure	structure	NOUN
fumecheng-12394	39	18	perpendicular	perpendicular	NOUN
fumecheng-12394	39	19	to	to	ADP
fumecheng-12394	39	20	the	the	DET
fumecheng-12394	39	21	cross	cross	NOUN
fumecheng-12394	39	22	section	section	NOUN
fumecheng-12394	39	23	and	and	CCONJ
fumecheng-12394	39	24	we	we	PRON
fumecheng-12394	39	25	schematic	schematic	ADJ
fumecheng-12394	39	26	picture	picture	NOUN
fumecheng-12394	39	27	of	of	ADP
fumecheng-12394	39	28	layers	layer	NOUN
fumecheng-12394	39	29	is	be	AUX
fumecheng-12394	39	30	shown	show	VERB
fumecheng-12394	39	31	in	in	ADP
fumecheng-12394	39	32	fig.1	fig.1	PROPN
fumecheng-12394	39	33	.	.	PUNCT
fumecheng-12394	40	1	through	through	ADP
fumecheng-12394	40	2	a	a	PRON
fumecheng-12394	40	3	and	and	CCONJ
fumecheng-12394	40	4	b	b	NOUN
fumecheng-12394	40	5	we	we	PRON
fumecheng-12394	40	6	denote	denote	VERB
fumecheng-12394	40	7	the	the	DET
fumecheng-12394	40	8	inner	inner	ADJ
fumecheng-12394	40	9	and	and	CCONJ
fumecheng-12394	40	10	outer	outer	ADJ
fumecheng-12394	40	11	radii	radius	NOUN
fumecheng-12394	40	12	of	of	ADP
fumecheng-12394	40	13	the	the	DET
fumecheng-12394	40	14	cylindrical	cylindrical	ADJ
fumecheng-12394	40	15	structure	structure	NOUN
fumecheng-12394	40	16	,	,	PUNCT
fumecheng-12394	40	17	and	and	CCONJ
fumecheng-12394	40	18	through	through	ADP
fumecheng-12394	40	19	r1	r1	NOUN
fumecheng-12394	40	20	and	and	CCONJ
fumecheng-12394	40	21	r2	r2	NOUN
fumecheng-12394	40	22	the	the	DET
fumecheng-12394	40	23	inner	inner	ADJ
fumecheng-12394	40	24	and	and	CCONJ
fumecheng-12394	40	25	outer	outer	ADJ
fumecheng-12394	40	26	radii	radius	NOUN
fumecheng-12394	40	27	of	of	ADP
fumecheng-12394	40	28	the	the	DET
fumecheng-12394	40	29	middle	middle	ADJ
fumecheng-12394	40	30	layer	layer	NOUN
fumecheng-12394	40	31	.	.	PUNCT
fumecheng-12394	41	1	when	when	SCONJ
fumecheng-12394	41	2	deriving	derive	VERB
fumecheng-12394	41	3	the	the	DET
fumecheng-12394	41	4	vibration	vibration	NOUN
fumecheng-12394	41	5	equations	equation	NOUN
fumecheng-12394	41	6	,	,	PUNCT
fumecheng-12394	41	7	we	we	PRON
fumecheng-12394	41	8	assume	assume	VERB
fumecheng-12394	41	9	that	that	SCONJ
fumecheng-12394	41	10	both	both	CCONJ
fumecheng-12394	41	11	the	the	DET
fumecheng-12394	41	12	cylindrical	cylindrical	ADJ
fumecheng-12394	41	13	structure	structure	NOUN
fumecheng-12394	41	14	as	as	ADP
fumecheng-12394	41	15	a	a	DET
fumecheng-12394	41	16	whole	whole	NOUN
fumecheng-12394	41	17	and	and	CCONJ
fumecheng-12394	41	18	its	its	PRON
fumecheng-12394	41	19	layers	layer	NOUN
fumecheng-12394	41	20	separately	separately	ADV
fumecheng-12394	41	21	longitudinal	longitudinal	ADJ
fumecheng-12394	41	22	-	-	PUNCT
fumecheng-12394	41	23	radial	radial	ADJ
fumecheng-12394	41	24	vibrations	vibration	NOUN
fumecheng-12394	41	25	of	of	ADP
fumecheng-12394	41	26	a	a	DET
fumecheng-12394	41	27	viscoelastic	viscoelastic	ADJ
fumecheng-12394	41	28	cylindrical	cylindrical	ADJ
fumecheng-12394	41	29	three	three	NUM
fumecheng-12394	41	30	-	-	PUNCT
fumecheng-12394	41	31	layer	layer	NOUN
fumecheng-12394	41	32	structure	structure	NOUN
fumecheng-12394	41	33	475	475	NUM
fumecheng-12394	41	34	strictly	strictly	ADV
fumecheng-12394	41	35	obey	obey	VERB
fumecheng-12394	41	36	the	the	DET
fumecheng-12394	41	37	mathematical	mathematical	ADJ
fumecheng-12394	41	38	theory	theory	NOUN
fumecheng-12394	41	39	of	of	ADP
fumecheng-12394	41	40	viscoelasticity	viscoelasticity	NOUN
fumecheng-12394	41	41	and	and	CCONJ
fumecheng-12394	41	42	are	be	AUX
fumecheng-12394	41	43	described	describe	VERB
fumecheng-12394	41	44	in	in	ADP
fumecheng-12394	41	45	an	an	DET
fumecheng-12394	41	46	accurate	accurate	ADJ
fumecheng-12394	41	47	formulation	formulation	NOUN
fumecheng-12394	41	48	by	by	ADP
fumecheng-12394	41	49	its	its	PRON
fumecheng-12394	41	50	three	three	NUM
fumecheng-12394	41	51	-	-	PUNCT
fumecheng-12394	41	52	dimensional	dimensional	ADJ
fumecheng-12394	41	53	equations	equation	NOUN
fumecheng-12394	41	54	in	in	ADP
fumecheng-12394	41	55	a	a	DET
fumecheng-12394	41	56	linear	linear	ADJ
fumecheng-12394	41	57	formulation	formulation	NOUN
fumecheng-12394	41	58	.	.	PUNCT
fumecheng-12394	42	1	fig	fig	NOUN
fumecheng-12394	42	2	.	.	PUNCT
fumecheng-12394	43	1	1	1	NUM
fumecheng-12394	43	2	cross	cross	NOUN
fumecheng-12394	43	3	section	section	NOUN
fumecheng-12394	43	4	of	of	ADP
fumecheng-12394	43	5	a	a	DET
fumecheng-12394	43	6	three	three	NUM
fumecheng-12394	43	7	-	-	PUNCT
fumecheng-12394	43	8	layer	layer	NOUN
fumecheng-12394	43	9	structure	structure	NOUN
fumecheng-12394	43	10	with	with	ADP
fumecheng-12394	43	11	longitudinal	longitudinal	ADJ
fumecheng-12394	43	12	radial	radial	ADJ
fumecheng-12394	43	13	vibrations	vibration	NOUN
fumecheng-12394	43	14	of	of	ADP
fumecheng-12394	43	15	the	the	DET
fumecheng-12394	43	16	cylindrical	cylindrical	ADJ
fumecheng-12394	43	17	structure	structure	NOUN
fumecheng-12394	43	18	,	,	PUNCT
fumecheng-12394	43	19	only	only	ADV
fumecheng-12394	43	20	the	the	DET
fumecheng-12394	43	21	components	component	NOUN
fumecheng-12394	43	22	of	of	ADP
fumecheng-12394	43	23	displacements	displacement	NOUN
fumecheng-12394	43	24	wm	wm	PROPN
fumecheng-12394	43	25	,	,	PUNCT
fumecheng-12394	43	26	um	um	INTJ
fumecheng-12394	43	27	,	,	PUNCT
fumecheng-12394	43	28	and	and	CCONJ
fumecheng-12394	43	29	stresses	stress	VERB
fumecheng-12394	43	30	(	(	PUNCT
fumecheng-12394	43	31	)	)	PUNCT
fumecheng-12394	43	32	m	m	VERB
fumecheng-12394	43	33	rr	rr	ADJ
fumecheng-12394	43	34	,	,	PUNCT
fumecheng-12394	43	35	(	(	PUNCT
fumecheng-12394	43	36	)	)	PUNCT
fumecheng-12394	43	37	m	m	VERB
fumecheng-12394	43	38			ADJ
fumecheng-12394	43	39	,	,	PUNCT
fumecheng-12394	43	40	(	(	PUNCT
fumecheng-12394	43	41	)	)	PUNCT
fumecheng-12394	43	42	m	m	PROPN
fumecheng-12394	43	43	zz	zz	NUM
fumecheng-12394	43	44	,	,	PUNCT
fumecheng-12394	43	45	(	(	PUNCT
fumecheng-12394	43	46	)	)	PUNCT
fumecheng-12394	43	47	m	m	VERB
fumecheng-12394	43	48	zr	zr	X
fumecheng-12394	43	49	(	(	PUNCT
fumecheng-12394	43	50	m=0,1,2	m=0,1,2	NUM
fumecheng-12394	43	51	)	)	PUNCT
fumecheng-12394	43	52	,	,	PUNCT
fumecheng-12394	43	53	will	will	AUX
fumecheng-12394	43	54	be	be	AUX
fumecheng-12394	43	55	different	different	ADJ
fumecheng-12394	43	56	from	from	ADP
fumecheng-12394	43	57	zero	zero	NUM
fumecheng-12394	43	58	[	[	X
fumecheng-12394	43	59	20	20	NUM
fumecheng-12394	43	60	]	]	PUNCT
fumecheng-12394	43	61	.	.	PUNCT
fumecheng-12394	44	1	accordingly	accordingly	ADV
fumecheng-12394	44	2	,	,	PUNCT
fumecheng-12394	44	3	the	the	DET
fumecheng-12394	44	4	equations	equation	NOUN
fumecheng-12394	44	5	of	of	ADP
fumecheng-12394	44	6	motion	motion	NOUN
fumecheng-12394	44	7	of	of	ADP
fumecheng-12394	44	8	points	point	NOUN
fumecheng-12394	44	9	of	of	ADP
fumecheng-12394	44	10	a	a	DET
fumecheng-12394	44	11	viscoelastic	viscoelastic	ADJ
fumecheng-12394	44	12	structure	structure	NOUN
fumecheng-12394	44	13	are	be	AUX
fumecheng-12394	44	14	taken	take	VERB
fumecheng-12394	44	15	in	in	ADP
fumecheng-12394	44	16	the	the	DET
fumecheng-12394	44	17	form	form	NOUN
fumecheng-12394	44	18	of	of	ADP
fumecheng-12394	44	19	wave	wave	NOUN
fumecheng-12394	44	20	equations	equation	NOUN
fumecheng-12394	44	21	with	with	ADP
fumecheng-12394	44	22	respect	respect	NOUN
fumecheng-12394	44	23	to	to	ADP
fumecheng-12394	44	24	the	the	DET
fumecheng-12394	44	25	potentials	potential	NOUN
fumecheng-12394	44	26	of	of	ADP
fumecheng-12394	44	27	longitudinal	longitudinal	ADJ
fumecheng-12394	44	28	φm	φm	PRON
fumecheng-12394	44	29	and	and	CCONJ
fumecheng-12394	44	30	transverse	transverse	VERB
fumecheng-12394	44	31	χm	χm	ADJ
fumecheng-12394	44	32	waves	wave	NOUN
fumecheng-12394	44	33	in	in	ADP
fumecheng-12394	44	34	the	the	DET
fumecheng-12394	44	35	layers	layer	NOUN
fumecheng-12394	44	36	of	of	ADP
fumecheng-12394	44	37	the	the	DET
fumecheng-12394	44	38	structure	structure	NOUN
fumecheng-12394	44	39	:	:	PUNCT
fumecheng-12394	44	40	(	(	PUNCT
fumecheng-12394	44	41	)	)	PUNCT
fumecheng-12394	44	42	(	(	PUNCT
fumecheng-12394	44	43	)	)	PUNCT
fumecheng-12394	44	44	(	(	PUNCT
fumecheng-12394	44	45	)	)	PUNCT
fumecheng-12394	45	1	2	2	NUM
fumecheng-12394	45	2	0	0	NUM
fumecheng-12394	45	3	2	2	NUM
fumecheng-12394	45	4	2	2	NUM
fumecheng-12394	45	5	0	0	NUM
fumecheng-12394	45	6	12	12	NUM
fumecheng-12394	45	7	,	,	PUNCT
fumecheng-12394	45	8	2	2	NUM
fumecheng-12394	45	9	,	,	PUNCT
fumecheng-12394	45	10	,	,	PUNCT
fumecheng-12394	45	11	0,1,2	0,1,2	INTJ
fumecheng-12394	45	12	,	,	PUNCT
fumecheng-12394	45	13	,	,	PUNCT
fumecheng-12394	45	14	m	m	VERB
fumecheng-12394	45	15	m	m	VERB
fumecheng-12394	45	16	m	m	VERB
fumecheng-12394	45	17	m	m	VERB
fumecheng-12394	45	18	m	m	VERB
fumecheng-12394	45	19	m	m	VERB
fumecheng-12394	45	20	m	m	VERB
fumecheng-12394	45	21	m	m	VERB
fumecheng-12394	45	22	m	m	VERB
fumecheng-12394	45	23	m	m	VERB
fumecheng-12394	45	24	m	m	VERB
fumecheng-12394	45	25	r	r	NOUN
fumecheng-12394	45	26	r	r	NOUN
fumecheng-12394	45	27	r	r	NOUN
fumecheng-12394	45	28	r	r	NOUN
fumecheng-12394	45	29	t	t	NOUN
fumecheng-12394	45	30	r	r	NOUN
fumecheng-12394	45	31	m	m	VERB
fumecheng-12394	45	32	a	a	DET
fumecheng-12394	45	33	r	r	NOUN
fumecheng-12394	45	34	r	r	NOUN
fumecheng-12394	45	35	t	t	NOUN
fumecheng-12394	45	36			ADP
fumecheng-12394	45	37			PROPN
fumecheng-12394	45	38			PUNCT
fumecheng-12394	46	1	=	=	PUNCT
fumecheng-12394	46	2	=	=	PUNCT
fumecheng-12394	46	3	+	+	ADJ
fumecheng-12394	46	4			NUM
fumecheng-12394	46	5			NUM
fumecheng-12394	46	6			ADJ
fumecheng-12394	46	7			NUM
fumecheng-12394	46	8			PROPN
fumecheng-12394	46	9			NOUN
fumecheng-12394	46	10	=	=	SYM
fumecheng-12394	46	11	=	=	SYM
fumecheng-12394	46	12			NOUN
fumecheng-12394	46	13			NOUN
fumecheng-12394	46	14			NUM
fumecheng-12394	46	15			PROPN
fumecheng-12394	46	16			ADJ
fumecheng-12394	46	17			NOUN
fumecheng-12394	46	18			NOUN
fumecheng-12394	46	19			ADJ
fumecheng-12394	46	20			ADJ
fumecheng-12394	46	21			NOUN
fumecheng-12394	46	22			NOUN
fumecheng-12394	46	23			VERB
fumecheng-12394	46	24			ADP
fumecheng-12394	46	25	(	(	PUNCT
fumecheng-12394	46	26	1	1	X
fumecheng-12394	46	27	)	)	PUNCT
fumecheng-12394	46	28	where	where	SCONJ
fumecheng-12394	46	29	2	2	NUM
fumecheng-12394	46	30	2	2	NUM
fumecheng-12394	46	31	0	0	NUM
fumecheng-12394	46	32	2	2	NUM
fumecheng-12394	46	33	2	2	NUM
fumecheng-12394	46	34	1	1	NUM
fumecheng-12394	46	35	r	r	NOUN
fumecheng-12394	46	36	rz	rz	NOUN
fumecheng-12394	46	37	r	r	NOUN
fumecheng-12394	46	38			ADJ
fumecheng-12394	46	39			ADJ
fumecheng-12394	46	40			ADJ
fumecheng-12394	46	41			PUNCT
fumecheng-12394	47	1	=	=	PUNCT
fumecheng-12394	48	1	+	+	CCONJ
fumecheng-12394	48	2	+	+	CCONJ
fumecheng-12394	48	3			ADJ
fumecheng-12394	48	4			PROPN
fumecheng-12394	48	5	,	,	PUNCT
fumecheng-12394	48	6	while	while	SCONJ
fumecheng-12394	48	7	m	m	VERB
fumecheng-12394	48	8	r	r	NUM
fumecheng-12394	48	9	,	,	PUNCT
fumecheng-12394	48	10	m	m	VERB
fumecheng-12394	48	11	r	r	NUM
fumecheng-12394	48	12	are	be	AUX
fumecheng-12394	48	13	the	the	DET
fumecheng-12394	48	14	integral	integral	ADJ
fumecheng-12394	48	15	operators	operator	NOUN
fumecheng-12394	48	16	defined	define	VERB
fumecheng-12394	48	17	by	by	ADP
fumecheng-12394	48	18	the	the	DET
fumecheng-12394	48	19	formula	formula	NOUN
fumecheng-12394	48	20	(	(	PUNCT
fumecheng-12394	48	21	)	)	PUNCT
fumecheng-12394	48	22	(	(	PUNCT
fumecheng-12394	48	23	,	,	PUNCT
fumecheng-12394	48	24	)	)	PUNCT
fumecheng-12394	48	25	,	,	PUNCT
fumecheng-12394	48	26	0	0	NUM
fumecheng-12394	48	27	(	(	PUNCT
fumecheng-12394	48	28	)	)	PUNCT
fumecheng-12394	48	29	(	(	PUNCT
fumecheng-12394	48	30	,	,	PUNCT
fumecheng-12394	48	31	)	)	PUNCT
fumecheng-12394	48	32	(	(	PUNCT
fumecheng-12394	48	33	)	)	PUNCT
fumecheng-12394	48	34	(	(	PUNCT
fumecheng-12394	49	1	)	)	PUNCT
fumecheng-12394	49	2	(	(	PUNCT
fumecheng-12394	49	3	)	)	PUNCT
fumecheng-12394	49	4	mm	mm	INTJ
fumecheng-12394	49	5	t	t	PROPN
fumecheng-12394	49	6	m	m	PROPN
fumecheng-12394	50	1	mr	mr	PROPN
fumecheng-12394	50	2	t	t	PROPN
fumecheng-12394	50	3	k	k	PROPN
fumecheng-12394	51	1	t	t	PROPN
fumecheng-12394	51	2	d	d	PROPN
fumecheng-12394	51	3			PROPN
fumecheng-12394	51	4			NOUN
fumecheng-12394	51	5	=	=	PUNCT
fumecheng-12394	51	6	−	−	PROPN
fumecheng-12394	51	7	−	−	PUNCT
fumecheng-12394	51	8			PROPN
fumecheng-12394	51	9			PROPN
fumecheng-12394	51	10			PROPN
fumecheng-12394	51	11			PUNCT
fumecheng-12394	51	12			X
fumecheng-12394	51	13			NUM
fumecheng-12394	51	14			NOUN
fumecheng-12394	51	15			PROPN
fumecheng-12394	51	16			ADJ
fumecheng-12394	51	17			NOUN
fumecheng-12394	51	18			PROPN
fumecheng-12394	51	19			NOUN
fumecheng-12394	51	20			PROPN
fumecheng-12394	51	21			NOUN
fumecheng-12394	51	22			NOUN
fumecheng-12394	51	23	,	,	PUNCT
fumecheng-12394	51	24	λm	λm	ADP
fumecheng-12394	51	25	,	,	PUNCT
fumecheng-12394	51	26	μm	μm	NUM
fumecheng-12394	51	27	are	be	AUX
fumecheng-12394	51	28	the	the	DET
fumecheng-12394	51	29	(	(	PUNCT
fumecheng-12394	51	30	lame)coefficients	lame)coefficient	NOUN
fumecheng-12394	51	31	of	of	ADP
fumecheng-12394	51	32	layer	layer	NOUN
fumecheng-12394	51	33	materials	material	NOUN
fumecheng-12394	51	34	,	,	PUNCT
fumecheng-12394	51	35	(	(	PUNCT
fumecheng-12394	51	36	,	,	PUNCT
fumecheng-12394	51	37	)	)	PUNCT
fumecheng-12394	51	38	(	(	PUNCT
fumecheng-12394	51	39	)	)	PUNCT
fumecheng-12394	51	40	m	m	VERB
fumecheng-12394	51	41	k	k	PROPN
fumecheng-12394	51	42	t	t	PROPN
fumecheng-12394	51	43	−	−	NOUN
fumecheng-12394	51	44			NOUN
fumecheng-12394	51	45			NOUN
fumecheng-12394	51	46	is	be	AUX
fumecheng-12394	51	47	the	the	DET
fumecheng-12394	51	48	kernel	kernel	NOUN
fumecheng-12394	51	49	of	of	ADP
fumecheng-12394	51	50	the	the	DET
fumecheng-12394	51	51	integral	integral	ADJ
fumecheng-12394	51	52	operators	operator	NOUN
fumecheng-12394	51	53	.	.	PUNCT
fumecheng-12394	52	1	it	it	PRON
fumecheng-12394	52	2	is	be	AUX
fumecheng-12394	52	3	assumed	assume	VERB
fumecheng-12394	52	4	that	that	SCONJ
fumecheng-12394	52	5	the	the	DET
fumecheng-12394	52	6	viscoelastic	viscoelastic	PROPN
fumecheng-12394	52	7	operators	operator	NOUN
fumecheng-12394	52	8	(	(	PUNCT
fumecheng-12394	52	9	,	,	PUNCT
fumecheng-12394	52	10	)	)	PUNCT
fumecheng-12394	52	11	(	(	PUNCT
fumecheng-12394	52	12	)	)	PUNCT
fumecheng-12394	52	13	m	m	VERB
fumecheng-12394	52	14	r	r	NOUN
fumecheng-12394	52	15			ADJ
fumecheng-12394	52	16			NOUN
fumecheng-12394	52	17			PROPN
fumecheng-12394	52	18	are	be	AUX
fumecheng-12394	52	19	reversible	reversible	ADJ
fumecheng-12394	52	20	,	,	PUNCT
fumecheng-12394	52	21	and	and	CCONJ
fumecheng-12394	52	22	their	their	PRON
fumecheng-12394	52	23	kernels	kernel	NOUN
fumecheng-12394	52	24	are	be	AUX
fumecheng-12394	52	25	arbitrary	arbitrary	ADJ
fumecheng-12394	52	26	.	.	PUNCT
fumecheng-12394	53	1	here	here	ADV
fumecheng-12394	53	2	and	and	CCONJ
fumecheng-12394	53	3	everywhere	everywhere	ADV
fumecheng-12394	53	4	else	else	ADV
fumecheng-12394	53	5	,	,	PUNCT
fumecheng-12394	53	6	the	the	DET
fumecheng-12394	53	7	index	index	NOUN
fumecheng-12394	53	8	m	m	AUX
fumecheng-12394	53	9	takes	take	VERB
fumecheng-12394	53	10	values	value	NOUN
fumecheng-12394	53	11	0	0	NUM
fumecheng-12394	53	12	,	,	PUNCT
fumecheng-12394	53	13	1	1	NUM
fumecheng-12394	53	14	,	,	PUNCT
fumecheng-12394	53	15	2	2	NUM
fumecheng-12394	53	16	.	.	X
fumecheng-12394	54	1	therefore	therefore	ADV
fumecheng-12394	54	2	,	,	PUNCT
fumecheng-12394	54	3	in	in	ADP
fumecheng-12394	54	4	the	the	DET
fumecheng-12394	54	5	following	following	NOUN
fumecheng-12394	54	6	,	,	PUNCT
fumecheng-12394	54	7	this	this	PRON
fumecheng-12394	54	8	will	will	AUX
fumecheng-12394	54	9	not	not	PART
fumecheng-12394	54	10	be	be	AUX
fumecheng-12394	54	11	emphasized	emphasize	VERB
fumecheng-12394	54	12	every	every	DET
fumecheng-12394	54	13	time	time	NOUN
fumecheng-12394	54	14	,	,	PUNCT
fumecheng-12394	54	15	implying	imply	VERB
fumecheng-12394	54	16	that	that	SCONJ
fumecheng-12394	54	17	this	this	PRON
fumecheng-12394	54	18	is	be	AUX
fumecheng-12394	54	19	always	always	ADV
fumecheng-12394	54	20	the	the	DET
fumecheng-12394	54	21	case	case	NOUN
fumecheng-12394	54	22	.	.	PUNCT
fumecheng-12394	55	1	it	it	PRON
fumecheng-12394	55	2	is	be	AUX
fumecheng-12394	55	3	assumed	assume	VERB
fumecheng-12394	55	4	that	that	SCONJ
fumecheng-12394	55	5	the	the	DET
fumecheng-12394	55	6	cylindrical	cylindrical	ADJ
fumecheng-12394	55	7	structure	structure	NOUN
fumecheng-12394	55	8	is	be	AUX
fumecheng-12394	55	9	at	at	ADP
fumecheng-12394	55	10	rest	rest	NOUN
fumecheng-12394	55	11	prior	prior	ADV
fumecheng-12394	55	12	to	to	ADP
fumecheng-12394	55	13	loading	loading	NOUN
fumecheng-12394	55	14	,	,	PUNCT
fumecheng-12394	55	15	and	and	CCONJ
fumecheng-12394	55	16	at	at	ADP
fumecheng-12394	55	17	the	the	DET
fumecheng-12394	55	18	moment	moment	NOUN
fumecheng-12394	55	19	t=0	t=0	ADJ
fumecheng-12394	55	20	,	,	PUNCT
fumecheng-12394	55	21	external	external	ADJ
fumecheng-12394	55	22	surface	surface	NOUN
fumecheng-12394	55	23	’s	’s	PART
fumecheng-12394	55	24	stresses	stress	NOUN
fumecheng-12394	55	25	(	(	PUNCT
fumecheng-12394	55	26	)	)	PUNCT
fumecheng-12394	55	27	(	(	PUNCT
fumecheng-12394	55	28	,	,	PUNCT
fumecheng-12394	55	29	)	)	PUNCT
fumecheng-12394	55	30	i	i	PRON
fumecheng-12394	55	31	rf	rf	VERB
fumecheng-12394	55	32	z	z	PROPN
fumecheng-12394	55	33	t	t	NOUN
fumecheng-12394	55	34	,	,	PUNCT
fumecheng-12394	55	35	(	(	PUNCT
fumecheng-12394	55	36	)	)	PUNCT
fumecheng-12394	55	37	(	(	PUNCT
fumecheng-12394	55	38	,	,	PUNCT
fumecheng-12394	55	39	)	)	PUNCT
fumecheng-12394	55	40	i	i	PRON
fumecheng-12394	55	41	rzf	rzf	VERB
fumecheng-12394	55	42	z	z	PROPN
fumecheng-12394	55	43	t	t	PROPN
fumecheng-12394	55	44	(	(	PUNCT
fumecheng-12394	55	45	i=1,2	i=1,2	ADJ
fumecheng-12394	55	46	)	)	PUNCT
fumecheng-12394	55	47	are	be	AUX
fumecheng-12394	55	48	applied	apply	VERB
fumecheng-12394	55	49	,	,	PUNCT
fumecheng-12394	55	50	i.e.	i.e.	X
fumecheng-12394	55	51	it	it	PRON
fumecheng-12394	55	52	is	be	AUX
fumecheng-12394	55	53	assumed	assume	VERB
fumecheng-12394	55	54	that	that	SCONJ
fumecheng-12394	55	55	the	the	DET
fumecheng-12394	55	56	boundary	boundary	ADJ
fumecheng-12394	55	57	conditions	condition	NOUN
fumecheng-12394	55	58	have	have	VERB
fumecheng-12394	55	59	the	the	DET
fumecheng-12394	55	60	form	form	NOUN
fumecheng-12394	55	61	:	:	PUNCT
fumecheng-12394	55	62	(	(	PUNCT
fumecheng-12394	55	63	1	1	X
fumecheng-12394	55	64	)	)	PUNCT
fumecheng-12394	55	65	(	(	PUNCT
fumecheng-12394	55	66	1	1	X
fumecheng-12394	55	67	)	)	PUNCT
fumecheng-12394	55	68	(	(	PUNCT
fumecheng-12394	55	69	1	1	X
fumecheng-12394	55	70	)	)	PUNCT
fumecheng-12394	55	71	(	(	PUNCT
fumecheng-12394	55	72	1	1	X
fumecheng-12394	55	73	)	)	PUNCT
fumecheng-12394	55	74	(	(	PUNCT
fumecheng-12394	55	75	2	2	NUM
fumecheng-12394	55	76	)	)	PUNCT
fumecheng-12394	55	77	(	(	PUNCT
fumecheng-12394	55	78	2	2	NUM
fumecheng-12394	55	79	)	)	PUNCT
fumecheng-12394	55	80	(	(	PUNCT
fumecheng-12394	55	81	2	2	NUM
fumecheng-12394	55	82	)	)	PUNCT
fumecheng-12394	55	83	(	(	PUNCT
fumecheng-12394	55	84	2	2	NUM
fumecheng-12394	55	85	)	)	PUNCT
fumecheng-12394	55	86	(	(	PUNCT
fumecheng-12394	55	87	,	,	PUNCT
fumecheng-12394	55	88	,	,	PUNCT
fumecheng-12394	55	89	)	)	PUNCT
fumecheng-12394	55	90	(	(	PUNCT
fumecheng-12394	55	91	,	,	PUNCT
fumecheng-12394	55	92	)	)	PUNCT
fumecheng-12394	55	93	,	,	PUNCT
fumecheng-12394	55	94	(	(	PUNCT
fumecheng-12394	55	95	,	,	PUNCT
fumecheng-12394	55	96	,	,	PUNCT
fumecheng-12394	55	97	)	)	PUNCT
fumecheng-12394	55	98	(	(	PUNCT
fumecheng-12394	55	99	,	,	PUNCT
fumecheng-12394	55	100	)	)	PUNCT
fumecheng-12394	55	101	,	,	PUNCT
fumecheng-12394	55	102	(	(	PUNCT
fumecheng-12394	55	103	,	,	PUNCT
fumecheng-12394	55	104	,	,	PUNCT
fumecheng-12394	55	105	)	)	PUNCT
fumecheng-12394	55	106	(	(	PUNCT
fumecheng-12394	55	107	,	,	PUNCT
fumecheng-12394	55	108	)	)	PUNCT
fumecheng-12394	55	109	,	,	PUNCT
fumecheng-12394	55	110	(	(	PUNCT
fumecheng-12394	55	111	,	,	PUNCT
fumecheng-12394	55	112	,	,	PUNCT
fumecheng-12394	55	113	)	)	PUNCT
fumecheng-12394	55	114	(	(	PUNCT
fumecheng-12394	55	115	,	,	PUNCT
fumecheng-12394	55	116	)	)	PUNCT
fumecheng-12394	55	117	.	.	PUNCT
fumecheng-12394	56	1	rr	rr	NOUN
fumecheng-12394	56	2	r	r	NOUN
fumecheng-12394	56	3	rz	rz	NOUN
fumecheng-12394	56	4	rz	rz	NOUN
fumecheng-12394	56	5	rr	rr	NOUN
fumecheng-12394	56	6	r	r	NOUN
fumecheng-12394	56	7	rz	rz	NOUN
fumecheng-12394	56	8	rz	rz	NOUN
fumecheng-12394	56	9	a	a	DET
fumecheng-12394	56	10	z	z	NOUN
fumecheng-12394	56	11	t	t	NOUN
fumecheng-12394	56	12	f	f	PROPN
fumecheng-12394	56	13	z	z	PROPN
fumecheng-12394	56	14	t	t	PROPN
fumecheng-12394	56	15	a	a	DET
fumecheng-12394	56	16	z	z	NOUN
fumecheng-12394	56	17	t	t	NOUN
fumecheng-12394	56	18	f	f	PROPN
fumecheng-12394	56	19	z	z	PROPN
fumecheng-12394	56	20	t	t	PROPN
fumecheng-12394	56	21	at	at	ADP
fumecheng-12394	56	22	r	r	NOUN
fumecheng-12394	56	23	a	a	DET
fumecheng-12394	56	24	b	b	PROPN
fumecheng-12394	56	25	z	z	NOUN
fumecheng-12394	56	26	t	t	NOUN
fumecheng-12394	57	1	f	f	PROPN
fumecheng-12394	57	2	z	z	PROPN
fumecheng-12394	57	3	t	t	PROPN
fumecheng-12394	58	1	b	b	PROPN
fumecheng-12394	58	2	z	z	PROPN
fumecheng-12394	58	3	t	t	PROPN
fumecheng-12394	58	4	f	f	PROPN
fumecheng-12394	58	5	z	z	PROPN
fumecheng-12394	58	6	t	t	PROPN
fumecheng-12394	58	7	at	at	ADP
fumecheng-12394	58	8	r	r	PROPN
fumecheng-12394	58	9	b	b	NOUN
fumecheng-12394	58	10			NOUN
fumecheng-12394	58	11	=	=	PUNCT
fumecheng-12394	59	1	=	=	PUNCT
fumecheng-12394	59	2	=	=	NOUN
fumecheng-12394	59	3			NUM
fumecheng-12394	59	4			NUM
fumecheng-12394	59	5	=	=	PUNCT
fumecheng-12394	59	6	=	=	PUNCT
fumecheng-12394	60	1	=	=	NUM
fumecheng-12394	60	2			NOUN
fumecheng-12394	60	3			PROPN
fumecheng-12394	60	4			NOUN
fumecheng-12394	60	5			NOUN
fumecheng-12394	60	6			NOUN
fumecheng-12394	60	7	(	(	PUNCT
fumecheng-12394	60	8	2	2	NUM
fumecheng-12394	60	9	)	)	PUNCT
fumecheng-12394	60	10	476	476	NUM
fumecheng-12394	60	11	kh	kh	NOUN
fumecheng-12394	60	12	.	.	PUNCT
fumecheng-12394	61	1	khudoynazarov	khudoynazarov	PROPN
fumecheng-12394	61	2	in	in	ADP
fumecheng-12394	61	3	addition	addition	NOUN
fumecheng-12394	61	4	,	,	PUNCT
fumecheng-12394	61	5	the	the	DET
fumecheng-12394	61	6	sticking	stick	VERB
fumecheng-12394	61	7	conditions	condition	NOUN
fumecheng-12394	61	8	must	must	AUX
fumecheng-12394	61	9	be	be	AUX
fumecheng-12394	61	10	met	meet	VERB
fumecheng-12394	61	11	on	on	ADP
fumecheng-12394	61	12	the	the	DET
fumecheng-12394	61	13	contact	contact	NOUN
fumecheng-12394	61	14	surfaces	surface	NOUN
fumecheng-12394	61	15	between	between	ADP
fumecheng-12394	61	16	the	the	DET
fumecheng-12394	61	17	layers	layer	NOUN
fumecheng-12394	61	18	of	of	ADP
fumecheng-12394	61	19	the	the	DET
fumecheng-12394	61	20	structure	structure	NOUN
fumecheng-12394	61	21	,	,	PUNCT
fumecheng-12394	61	22	which	which	PRON
fumecheng-12394	61	23	require	require	VERB
fumecheng-12394	61	24	equal	equal	ADJ
fumecheng-12394	61	25	displacements	displacement	NOUN
fumecheng-12394	61	26	and	and	CCONJ
fumecheng-12394	61	27	stresses	stress	NOUN
fumecheng-12394	61	28	,	,	PUNCT
fumecheng-12394	61	29	i.e.	i.e.	X
fumecheng-12394	61	30	contact	contact	NOUN
fumecheng-12394	61	31	conditions	condition	NOUN
fumecheng-12394	61	32	have	have	VERB
fumecheng-12394	61	33	the	the	DET
fumecheng-12394	61	34	following	follow	VERB
fumecheng-12394	61	35	form	form	NOUN
fumecheng-12394	61	36	at	at	ADP
fumecheng-12394	61	37	r	r	NOUN
fumecheng-12394	61	38	=	=	SYM
fumecheng-12394	61	39	ri	ri	NOUN
fumecheng-12394	61	40	,	,	PUNCT
fumecheng-12394	61	41	i=1,2	i=1,2	ADJ
fumecheng-12394	61	42	:	:	PUNCT
fumecheng-12394	61	43	0	0	NUM
fumecheng-12394	61	44	0	0	NUM
fumecheng-12394	61	45	(	(	PUNCT
fumecheng-12394	61	46	0	0	NUM
fumecheng-12394	61	47	)	)	PUNCT
fumecheng-12394	61	48	(	(	PUNCT
fumecheng-12394	61	49	)	)	PUNCT
fumecheng-12394	61	50	(	(	PUNCT
fumecheng-12394	61	51	0	0	NUM
fumecheng-12394	61	52	)	)	PUNCT
fumecheng-12394	61	53	(	(	PUNCT
fumecheng-12394	61	54	)	)	PUNCT
fumecheng-12394	61	55	(	(	PUNCT
fumecheng-12394	61	56	,	,	PUNCT
fumecheng-12394	61	57	,	,	PUNCT
fumecheng-12394	61	58	)	)	PUNCT
fumecheng-12394	61	59	(	(	PUNCT
fumecheng-12394	61	60	,	,	PUNCT
fumecheng-12394	61	61	,	,	PUNCT
fumecheng-12394	61	62	)	)	PUNCT
fumecheng-12394	61	63	,	,	PUNCT
fumecheng-12394	61	64	(	(	PUNCT
fumecheng-12394	61	65	,	,	PUNCT
fumecheng-12394	61	66	,	,	PUNCT
fumecheng-12394	61	67	)	)	PUNCT
fumecheng-12394	61	68	(	(	PUNCT
fumecheng-12394	61	69	,	,	PUNCT
fumecheng-12394	61	70	,	,	PUNCT
fumecheng-12394	61	71	)	)	PUNCT
fumecheng-12394	61	72	,	,	PUNCT
fumecheng-12394	61	73	(	(	PUNCT
fumecheng-12394	61	74	,	,	PUNCT
fumecheng-12394	61	75	,	,	PUNCT
fumecheng-12394	61	76	)	)	PUNCT
fumecheng-12394	61	77	(	(	PUNCT
fumecheng-12394	61	78	,	,	PUNCT
fumecheng-12394	61	79	,	,	PUNCT
fumecheng-12394	61	80	)	)	PUNCT
fumecheng-12394	61	81	,	,	PUNCT
fumecheng-12394	61	82	(	(	PUNCT
fumecheng-12394	61	83	,	,	PUNCT
fumecheng-12394	61	84	,	,	PUNCT
fumecheng-12394	61	85	)	)	PUNCT
fumecheng-12394	61	86	(	(	PUNCT
fumecheng-12394	61	87	,	,	PUNCT
fumecheng-12394	61	88	,	,	PUNCT
fumecheng-12394	61	89	)	)	PUNCT
fumecheng-12394	61	90	,	,	PUNCT
fumecheng-12394	61	91	(	(	PUNCT
fumecheng-12394	61	92	1,2	1,2	NUM
fumecheng-12394	61	93	)	)	PUNCT
fumecheng-12394	61	94	.	.	PUNCT
fumecheng-12394	62	1	i	i	PRON
fumecheng-12394	62	2	i	i	PRON
fumecheng-12394	63	1	i	i	PRON
fumecheng-12394	63	2	i	i	PRON
fumecheng-12394	64	1	i	i	PRON
fumecheng-12394	64	2	i	i	PRON
fumecheng-12394	65	1	i	i	PRON
fumecheng-12394	66	1	i	i	PRON
fumecheng-12394	66	2	rr	rr	VERB
fumecheng-12394	67	1	i	i	PRON
fumecheng-12394	67	2	rr	rr	VERB
fumecheng-12394	68	1	i	i	NOUN
fumecheng-12394	68	2	rz	rz	NOUN
fumecheng-12394	69	1	i	i	PRON
fumecheng-12394	69	2	rz	rz	NOUN
fumecheng-12394	70	1	i	i	PRON
fumecheng-12394	70	2	w	w	PROPN
fumecheng-12394	71	1	r	r	NOUN
fumecheng-12394	71	2	z	z	NOUN
fumecheng-12394	71	3	t	t	NOUN
fumecheng-12394	71	4	w	w	NOUN
fumecheng-12394	71	5	r	r	NOUN
fumecheng-12394	71	6	z	z	NOUN
fumecheng-12394	71	7	t	t	NOUN
fumecheng-12394	71	8	u	u	NOUN
fumecheng-12394	71	9	r	r	NOUN
fumecheng-12394	71	10	z	z	NOUN
fumecheng-12394	71	11	t	t	NOUN
fumecheng-12394	71	12	u	u	NOUN
fumecheng-12394	71	13	r	r	NOUN
fumecheng-12394	71	14	z	z	NOUN
fumecheng-12394	71	15	t	t	NOUN
fumecheng-12394	72	1	r	r	NOUN
fumecheng-12394	72	2	z	z	NOUN
fumecheng-12394	72	3	t	t	NOUN
fumecheng-12394	72	4	r	r	NOUN
fumecheng-12394	72	5	z	z	NOUN
fumecheng-12394	72	6	t	t	NOUN
fumecheng-12394	73	1	r	r	NOUN
fumecheng-12394	73	2	z	z	NOUN
fumecheng-12394	73	3	t	t	NOUN
fumecheng-12394	74	1	r	r	NOUN
fumecheng-12394	74	2	z	z	NOUN
fumecheng-12394	74	3	t	t	NOUN
fumecheng-12394	75	1	i	i	NOUN
fumecheng-12394	75	2	=	=	PUNCT
fumecheng-12394	76	1	=	=	ADJ
fumecheng-12394	76	2			PRON
fumecheng-12394	76	3			NUM
fumecheng-12394	76	4	=	=	PUNCT
fumecheng-12394	76	5	=	=	PUNCT
fumecheng-12394	77	1	=	=	PUNCT
fumecheng-12394	77	2			PROPN
fumecheng-12394	77	3			PROPN
fumecheng-12394	77	4			NOUN
fumecheng-12394	77	5			NOUN
fumecheng-12394	77	6	(	(	PUNCT
fumecheng-12394	77	7	3	3	NUM
fumecheng-12394	77	8	)	)	PUNCT
fumecheng-12394	77	9	the	the	DET
fumecheng-12394	77	10	initial	initial	ADJ
fumecheng-12394	77	11	conditions	condition	NOUN
fumecheng-12394	77	12	of	of	ADP
fumecheng-12394	77	13	the	the	DET
fumecheng-12394	77	14	problem	problem	NOUN
fumecheng-12394	77	15	are	be	AUX
fumecheng-12394	77	16	considered	consider	VERB
fumecheng-12394	77	17	zero	zero	NUM
fumecheng-12394	77	18	,	,	PUNCT
fumecheng-12394	77	19	i.e.	i.e.	X
fumecheng-12394	77	20	at	at	ADP
fumecheng-12394	77	21	t=0	t=0	PROPN
fumecheng-12394	77	22	0	0	NUM
fumecheng-12394	77	23	,	,	PUNCT
fumecheng-12394	77	24	0	0	NUM
fumecheng-12394	77	25	,	,	PUNCT
fumecheng-12394	77	26	0	0	NUM
fumecheng-12394	77	27	,	,	PUNCT
fumecheng-12394	77	28	0	0	NUM
fumecheng-12394	77	29	m	m	NOUN
fumecheng-12394	77	30	m	m	VERB
fumecheng-12394	77	31	m	m	VERB
fumecheng-12394	77	32	m	m	VERB
fumecheng-12394	77	33	t	t	NOUN
fumecheng-12394	77	34	t	t	NOUN
fumecheng-12394	77	35			ADJ
fumecheng-12394	77	36			PROPN
fumecheng-12394	77	37	=	=	PUNCT
fumecheng-12394	78	1	=	=	SYM
fumecheng-12394	78	2	=	=	SYM
fumecheng-12394	78	3	=	=	SYM
fumecheng-12394	78	4			ADJ
fumecheng-12394	78	5			ADJ
fumecheng-12394	78	6			ADJ
fumecheng-12394	78	7			NOUN
fumecheng-12394	78	8			ADJ
fumecheng-12394	78	9			NOUN
fumecheng-12394	78	10	.	.	PUNCT
fumecheng-12394	79	1	(	(	PUNCT
fumecheng-12394	79	2	4	4	NUM
fumecheng-12394	79	3	)	)	PUNCT
fumecheng-12394	79	4	2.2	2.2	NUM
fumecheng-12394	79	5	.	.	PUNCT
fumecheng-12394	80	1	derivation	derivation	NOUN
fumecheng-12394	80	2	of	of	ADP
fumecheng-12394	80	3	vibration	vibration	NOUN
fumecheng-12394	80	4	equations	equation	NOUN
fumecheng-12394	80	5	to	to	PART
fumecheng-12394	80	6	solve	solve	VERB
fumecheng-12394	80	7	the	the	DET
fumecheng-12394	80	8	formulated	formulated	ADJ
fumecheng-12394	80	9	problem	problem	NOUN
fumecheng-12394	80	10	of	of	ADP
fumecheng-12394	80	11	torsional	torsional	ADJ
fumecheng-12394	80	12	vibrations	vibration	NOUN
fumecheng-12394	80	13	of	of	ADP
fumecheng-12394	80	14	a	a	DET
fumecheng-12394	80	15	three	three	NUM
fumecheng-12394	80	16	-	-	PUNCT
fumecheng-12394	80	17	layer	layer	NOUN
fumecheng-12394	80	18	cylindrical	cylindrical	ADJ
fumecheng-12394	80	19	viscoelastic	viscoelastic	ADJ
fumecheng-12394	80	20	shell	shell	NOUN
fumecheng-12394	80	21	,	,	PUNCT
fumecheng-12394	80	22	the	the	DET
fumecheng-12394	80	23	functions	function	NOUN
fumecheng-12394	80	24	(	(	PUNCT
fumecheng-12394	80	25	)	)	PUNCT
fumecheng-12394	80	26	(	(	PUNCT
fumecheng-12394	80	27	,	,	PUNCT
fumecheng-12394	80	28	)	)	PUNCT
fumecheng-12394	80	29	i	i	PRON
fumecheng-12394	80	30	rf	rf	VERB
fumecheng-12394	80	31	z	z	PROPN
fumecheng-12394	80	32	t	t	NOUN
fumecheng-12394	80	33	,	,	PUNCT
fumecheng-12394	80	34	(	(	PUNCT
fumecheng-12394	80	35	)	)	PUNCT
fumecheng-12394	80	36	(	(	PUNCT
fumecheng-12394	80	37	,	,	PUNCT
fumecheng-12394	80	38	)	)	PUNCT
fumecheng-12394	80	39	i	i	PRON
fumecheng-12394	80	40	rzf	rzf	VERB
fumecheng-12394	80	41	z	z	PROPN
fumecheng-12394	80	42	t	t	PROPN
fumecheng-12394	80	43	(	(	PUNCT
fumecheng-12394	80	44	i=1,2	i=1,2	ADJ
fumecheng-12394	80	45	)	)	PUNCT
fumecheng-12394	80	46	of	of	ADP
fumecheng-12394	80	47	external	external	ADJ
fumecheng-12394	80	48	influences	influence	NOUN
fumecheng-12394	80	49	under	under	ADP
fumecheng-12394	80	50	boundary	boundary	ADJ
fumecheng-12394	80	51	conditions	condition	NOUN
fumecheng-12394	80	52	(	(	PUNCT
fumecheng-12394	80	53	3	3	X
fumecheng-12394	80	54	)	)	PUNCT
fumecheng-12394	80	55	are	be	AUX
fumecheng-12394	80	56	considered	consider	VERB
fumecheng-12394	80	57	in	in	ADP
fumecheng-12394	80	58	the	the	DET
fumecheng-12394	80	59	class	class	NOUN
fumecheng-12394	80	60	of	of	ADP
fumecheng-12394	80	61	functions	function	NOUN
fumecheng-12394	80	62	represented	represent	VERB
fumecheng-12394	80	63	as	as	ADP
fumecheng-12394	80	64	[	[	X
fumecheng-12394	80	65	21	21	NUM
fumecheng-12394	80	66	]	]	X
fumecheng-12394	80	67	:	:	PUNCT
fumecheng-12394	80	68	(	(	PUNCT
fumecheng-12394	80	69	)	)	PUNCT
fumecheng-12394	80	70	(	(	PUNCT
fumecheng-12394	80	71	)	)	PUNCT
fumecheng-12394	80	72	(	(	PUNCT
fumecheng-12394	80	73	)	)	PUNCT
fumecheng-12394	80	74	(	(	PUNCT
fumecheng-12394	80	75	)	)	PUNCT
fumecheng-12394	80	76	0	0	NUM
fumecheng-12394	81	1	(	(	PUNCT
fumecheng-12394	81	2	)	)	PUNCT
fumecheng-12394	81	3	0	0	NUM
fumecheng-12394	81	4	(	(	PUNCT
fumecheng-12394	81	5	)	)	PUNCT
fumecheng-12394	81	6	sin	sin	PROPN
fumecheng-12394	81	7	cos	cos	PROPN
fumecheng-12394	81	8	(	(	PUNCT
fumecheng-12394	81	9	,	,	PUNCT
fumecheng-12394	81	10	)	)	PUNCT
fumecheng-12394	81	11	,	,	PUNCT
fumecheng-12394	81	12	(	(	PUNCT
fumecheng-12394	81	13	,	,	PUNCT
fumecheng-12394	81	14	)	)	PUNCT
fumecheng-12394	81	15	cos	cos	ADP
fumecheng-12394	81	16	sin	sin	VERB
fumecheng-12394	82	1	i	i	PRON
fumecheng-12394	82	2	i	i	PRON
fumecheng-12394	82	3	pt	pt	VERB
fumecheng-12394	83	1	i	i	PRON
fumecheng-12394	84	1	i	i	PRON
fumecheng-12394	84	2	pt	pt	VERB
fumecheng-12394	84	3	r	r	NOUN
fumecheng-12394	84	4	r	r	NOUN
fumecheng-12394	84	5	rz	rz	NOUN
fumecheng-12394	84	6	rz	rz	NOUN
fumecheng-12394	84	7	l	l	PROPN
fumecheng-12394	84	8	l	l	PROPN
fumecheng-12394	85	1	kz	kz	PROPN
fumecheng-12394	85	2	kz	kz	PROPN
fumecheng-12394	85	3	f	f	PROPN
fumecheng-12394	86	1	dk	dk	PROPN
fumecheng-12394	87	1	f	f	PROPN
fumecheng-12394	87	2	k	k	PROPN
fumecheng-12394	88	1	p	p	X
fumecheng-12394	88	2	e	e	X
fumecheng-12394	88	3	dp	dp	NOUN
fumecheng-12394	89	1	f	f	NOUN
fumecheng-12394	89	2	dk	dk	INTJ
fumecheng-12394	90	1	f	f	PROPN
fumecheng-12394	90	2	k	k	PROPN
fumecheng-12394	90	3	p	p	X
fumecheng-12394	90	4	e	e	PROPN
fumecheng-12394	90	5	dp	dp	PROPN
fumecheng-12394	90	6	kz	kz	PROPN
fumecheng-12394	90	7	kz	kz	PROPN
fumecheng-12394	90	8			PROPN
fumecheng-12394	90	9			PUNCT
fumecheng-12394	90	10			PROPN
fumecheng-12394	90	11	=	=	PUNCT
fumecheng-12394	91	1	=	=	X
fumecheng-12394	91	2			NOUN
fumecheng-12394	91	3			NOUN
fumecheng-12394	91	4	−	−	PROPN
fumecheng-12394	92	1			X
fumecheng-12394	92	2			X
fumecheng-12394	92	3			X
fumecheng-12394	92	4			X
fumecheng-12394	92	5			X
fumecheng-12394	92	6			X
fumecheng-12394	92	7	.	.	PUNCT
fumecheng-12394	93	1	(	(	PUNCT
fumecheng-12394	93	2	5	5	X
fumecheng-12394	93	3	)	)	PUNCT
fumecheng-12394	93	4	here	here	ADV
fumecheng-12394	93	5	(	(	PUNCT
fumecheng-12394	93	6	l	l	NOUN
fumecheng-12394	93	7	)	)	PUNCT
fumecheng-12394	93	8	is	be	AUX
fumecheng-12394	93	9	an	an	DET
fumecheng-12394	93	10	open	open	ADJ
fumecheng-12394	93	11	contour	contour	NOUN
fumecheng-12394	93	12	in	in	ADP
fumecheng-12394	93	13	the	the	DET
fumecheng-12394	93	14	plane	plane	NOUN
fumecheng-12394	93	15	p	p	NOUN
fumecheng-12394	93	16	adjacent	adjacent	ADJ
fumecheng-12394	93	17	to	to	ADP
fumecheng-12394	93	18	the	the	DET
fumecheng-12394	93	19	right	right	ADJ
fumecheng-12394	93	20	section	section	NOUN
fumecheng-12394	93	21	(	(	PUNCT
fumecheng-12394	93	22	–	–	PUNCT
fumecheng-12394	93	23	iω0	iω0	PROPN
fumecheng-12394	93	24	,	,	PUNCT
fumecheng-12394	93	25	iω0	iω0	PROPN
fumecheng-12394	93	26	)	)	PUNCT
fumecheng-12394	93	27	of	of	ADP
fumecheng-12394	93	28	the	the	DET
fumecheng-12394	93	29	imaginary	imaginary	ADJ
fumecheng-12394	93	30	axis	axis	NOUN
fumecheng-12394	93	31	.	.	PUNCT
fumecheng-12394	94	1	furtgermore	furtgermore	NOUN
fumecheng-12394	94	2	,	,	PUNCT
fumecheng-12394	94	3	the	the	DET
fumecheng-12394	94	4	functions	function	NOUN
fumecheng-12394	94	5	(	(	PUNCT
fumecheng-12394	94	6	)	)	PUNCT
fumecheng-12394	94	7	(	(	PUNCT
fumecheng-12394	94	8	,	,	PUNCT
fumecheng-12394	94	9	)	)	PUNCT
fumecheng-12394	95	1	i	i	PRON
fumecheng-12394	95	2	rf	rf	VERB
fumecheng-12394	95	3	z	z	PROPN
fumecheng-12394	95	4	t	t	NOUN
fumecheng-12394	95	5	,	,	PUNCT
fumecheng-12394	95	6	(	(	PUNCT
fumecheng-12394	95	7	)	)	PUNCT
fumecheng-12394	95	8	(	(	PUNCT
fumecheng-12394	95	9	,	,	PUNCT
fumecheng-12394	95	10	)	)	PUNCT
fumecheng-12394	95	11	i	i	PRON
fumecheng-12394	95	12	rzf	rzf	VERB
fumecheng-12394	95	13	z	z	PROPN
fumecheng-12394	95	14	t	t	PROPN
fumecheng-12394	95	15	are	be	AUX
fumecheng-12394	95	16	assumed	assume	VERB
fumecheng-12394	95	17	to	to	PART
fumecheng-12394	95	18	be	be	AUX
fumecheng-12394	95	19	such	such	ADJ
fumecheng-12394	95	20	that	that	SCONJ
fumecheng-12394	95	21	the	the	DET
fumecheng-12394	95	22	functions	function	NOUN
fumecheng-12394	95	23	(	(	PUNCT
fumecheng-12394	95	24	)	)	PUNCT
fumecheng-12394	95	25	(	(	PUNCT
fumecheng-12394	95	26	,	,	PUNCT
fumecheng-12394	95	27	)	)	PUNCT
fumecheng-12394	95	28	i	i	PRON
fumecheng-12394	95	29	rf	rf	VERB
fumecheng-12394	95	30	z	z	PROPN
fumecheng-12394	95	31	t	t	NOUN
fumecheng-12394	95	32	,	,	PUNCT
fumecheng-12394	95	33	(	(	PUNCT
fumecheng-12394	95	34	)	)	PUNCT
fumecheng-12394	95	35	(	(	PUNCT
fumecheng-12394	95	36	,	,	PUNCT
fumecheng-12394	95	37	)	)	PUNCT
fumecheng-12394	95	38	i	i	PRON
fumecheng-12394	95	39	rzf	rzf	VERB
fumecheng-12394	95	40	z	z	PROPN
fumecheng-12394	95	41	t	t	PROPN
fumecheng-12394	95	42	are	be	AUX
fumecheng-12394	95	43	negligibly	negligibly	ADV
fumecheng-12394	95	44	small	small	ADJ
fumecheng-12394	95	45	outside	outside	ADP
fumecheng-12394	95	46	the	the	DET
fumecheng-12394	95	47	domain	domain	NOUN
fumecheng-12394	95	48	{	{	PUNCT
fumecheng-12394	95	49	0	0	NUM
fumecheng-12394	95	50	<	<	X
fumecheng-12394	95	51	k	k	X
fumecheng-12394	95	52	<	<	X
fumecheng-12394	95	53	k0	k0	PROPN
fumecheng-12394	95	54	,	,	PUNCT
fumecheng-12394	95	55	im|p|<ω0	im|p|<ω0	NOUN
fumecheng-12394	95	56	}	}	PUNCT
fumecheng-12394	95	57	let	let	VERB
fumecheng-12394	95	58	’s	’s	PRON
fumecheng-12394	95	59	assume	assume	VERB
fumecheng-12394	95	60	the	the	DET
fumecheng-12394	95	61	potential	potential	ADJ
fumecheng-12394	95	62	functions	function	NOUN
fumecheng-12394	95	63	φm	φm	VERB
fumecheng-12394	95	64	and	and	CCONJ
fumecheng-12394	95	65	χm	χm	VERB
fumecheng-12394	95	66	also	also	ADV
fumecheng-12394	95	67	in	in	ADP
fumecheng-12394	95	68	the	the	DET
fumecheng-12394	95	69	form	form	NOUN
fumecheng-12394	95	70	of	of	ADP
fumecheng-12394	95	71	eq	eq	PROPN
fumecheng-12394	95	72	.	.	PUNCT
fumecheng-12394	96	1	(	(	PUNCT
fumecheng-12394	96	2	5	5	NUM
fumecheng-12394	96	3	)	)	PUNCT
fumecheng-12394	96	4	.	.	PUNCT
fumecheng-12394	97	1	substituting	substitute	VERB
fumecheng-12394	97	2	them	they	PRON
fumecheng-12394	97	3	into	into	ADP
fumecheng-12394	97	4	the	the	DET
fumecheng-12394	97	5	equations	equation	NOUN
fumecheng-12394	97	6	of	of	ADP
fumecheng-12394	97	7	motion	motion	NOUN
fumecheng-12394	97	8	(	(	PUNCT
fumecheng-12394	97	9	eq	eq	NOUN
fumecheng-12394	97	10	.	.	PUNCT
fumecheng-12394	98	1	(	(	PUNCT
fumecheng-12394	98	2	1	1	NUM
fumecheng-12394	98	3	)	)	PUNCT
fumecheng-12394	98	4	)	)	PUNCT
fumecheng-12394	98	5	,	,	PUNCT
fumecheng-12394	98	6	we	we	PRON
fumecheng-12394	98	7	obtain	obtain	VERB
fumecheng-12394	98	8	ordinary	ordinary	ADJ
fumecheng-12394	98	9	bessel	bessel	ADJ
fumecheng-12394	98	10	differential	differential	NOUN
fumecheng-12394	98	11	equations	equation	NOUN
fumecheng-12394	98	12	for	for	ADP
fumecheng-12394	98	13	the	the	DET
fumecheng-12394	98	14	transformed	transform	VERB
fumecheng-12394	98	15	potential	potential	ADJ
fumecheng-12394	98	16	functions	function	NOUN
fumecheng-12394	98	17	m	m	NOUN
fumecheng-12394	98	18	,	,	PUNCT
fumecheng-12394	98	19	m	m	NOUN
fumecheng-12394	98	20	(	(	PUNCT
fumecheng-12394	98	21	m=0,1,2	m=0,1,2	NUM
fumecheng-12394	98	22	):	):	PUNCT
fumecheng-12394	98	23	2	2	NUM
fumecheng-12394	98	24	2	2	NUM
fumecheng-12394	98	25	2	2	NUM
fumecheng-12394	98	26	2	2	NUM
fumecheng-12394	98	27	2	2	NUM
fumecheng-12394	98	28	2	2	NUM
fumecheng-12394	98	29	1	1	NUM
fumecheng-12394	98	30	1	1	NUM
fumecheng-12394	98	31	0	0	NUM
fumecheng-12394	98	32	,	,	PUNCT
fumecheng-12394	98	33	0	0	NUM
fumecheng-12394	98	34	m	m	NOUN
fumecheng-12394	98	35	m	m	VERB
fumecheng-12394	98	36	m	m	NOUN
fumecheng-12394	98	37	d	d	NOUN
fumecheng-12394	98	38	d	d	PROPN
fumecheng-12394	98	39	d	d	X
fumecheng-12394	98	40	d	d	X
fumecheng-12394	98	41	r	r	NOUN
fumecheng-12394	98	42	dr	dr	PROPN
fumecheng-12394	98	43	r	r	PROPN
fumecheng-12394	98	44	drdr	drdr	NOUN
fumecheng-12394	98	45	dr	dr	PROPN
fumecheng-12394	98	46			PROPN
fumecheng-12394	98	47			PROPN
fumecheng-12394	98	48			PROPN
fumecheng-12394	98	49			NOUN
fumecheng-12394	98	50			NOUN
fumecheng-12394	98	51			PROPN
fumecheng-12394	98	52			NOUN
fumecheng-12394	98	53			NOUN
fumecheng-12394	98	54	+	+	CCONJ
fumecheng-12394	98	55	−	−	PROPN
fumecheng-12394	99	1	=	=	SYM
fumecheng-12394	100	1	+	+	NUM
fumecheng-12394	100	2	−	−	PROPN
fumecheng-12394	100	3	=	=	SYM
fumecheng-12394	100	4			PROPN
fumecheng-12394	100	5			PROPN
fumecheng-12394	101	1			PROPN
fumecheng-12394	101	2			PROPN
fumecheng-12394	102	1			ADJ
fumecheng-12394	102	2			PROPN
fumecheng-12394	102	3			PROPN
fumecheng-12394	102	4			NOUN
fumecheng-12394	102	5	(	(	PUNCT
fumecheng-12394	102	6	6	6	NUM
fumecheng-12394	102	7	)	)	PUNCT
fumecheng-12394	102	8	where	where	SCONJ
fumecheng-12394	102	9	0	0	NUM
fumecheng-12394	102	10	2	2	NUM
fumecheng-12394	102	11	2	2	NUM
fumecheng-12394	102	12	1	1	NUM
fumecheng-12394	102	13	2	2	NUM
fumecheng-12394	102	14	2	2	NUM
fumecheng-12394	102	15	2	2	NUM
fumecheng-12394	102	16	1	1	NUM
fumecheng-12394	102	17	2	2	NUM
fumecheng-12394	102	18	,	,	PUNCT
fumecheng-12394	102	19	,	,	PUNCT
fumecheng-12394	102	20	,	,	PUNCT
fumecheng-12394	102	21	,	,	PUNCT
fumecheng-12394	102	22	(	(	PUNCT
fumecheng-12394	102	23	)	)	PUNCT
fumecheng-12394	102	24	(	(	PUNCT
fumecheng-12394	102	25	)	)	PUNCT
fumecheng-12394	102	26	,	,	PUNCT
fumecheng-12394	102	27	(	(	PUNCT
fumecheng-12394	102	28	2	2	X
fumecheng-12394	102	29	)	)	PUNCT
fumecheng-12394	102	30	1	1	NUM
fumecheng-12394	102	31	(	(	PUNCT
fumecheng-12394	102	32	)	)	PUNCT
fumecheng-12394	102	33	1	1	NUM
fumecheng-12394	102	34	(	(	PUNCT
fumecheng-12394	102	35	)	)	PUNCT
fumecheng-12394	102	36	(	(	PUNCT
fumecheng-12394	102	37	)	)	PUNCT
fumecheng-12394	102	38	2	2	NUM
fumecheng-12394	102	39	(	(	PUNCT
fumecheng-12394	102	40	)	)	PUNCT
fumecheng-12394	102	41	(	(	PUNCT
fumecheng-12394	102	42	)	)	PUNCT
fumecheng-12394	102	43	2	2	NUM
fumecheng-12394	102	44	m	m	NOUN
fumecheng-12394	102	45	m	m	VERB
fumecheng-12394	102	46	m	m	VERB
fumecheng-12394	102	47	m	m	VERB
fumecheng-12394	102	48	m	m	VERB
fumecheng-12394	102	49	m	m	VERB
fumecheng-12394	102	50	m	m	VERB
fumecheng-12394	102	51	pt	pt	INTJ
fumecheng-12394	102	52	m	m	NOUN
fumecheng-12394	102	53	m	m	VERB
fumecheng-12394	102	54	m	m	VERB
fumecheng-12394	102	55	m	m	VERB
fumecheng-12394	102	56	m	m	VERB
fumecheng-12394	102	57	m	m	VERB
fumecheng-12394	102	58	m	m	VERB
fumecheng-12394	102	59	m	m	VERB
fumecheng-12394	102	60	m	m	VERB
fumecheng-12394	102	61	m	m	VERB
fumecheng-12394	102	62	m	m	VERB
fumecheng-12394	102	63	m	m	VERB
fumecheng-12394	102	64	m	m	VERB
fumecheng-12394	102	65	m	m	VERB
fumecheng-12394	102	66	m	m	VERB
fumecheng-12394	102	67	p	p	NOUN
fumecheng-12394	103	1	r	r	NOUN
fumecheng-12394	103	2	k	k	PROPN
fumecheng-12394	104	1	k	k	PROPN
fumecheng-12394	104	2	p	p	X
fumecheng-12394	104	3	k	k	PROPN
fumecheng-12394	104	4	t	t	X
fumecheng-12394	104	5	e	e	X
fumecheng-12394	104	6	dt	dt	NOUN
fumecheng-12394	105	1	r	r	NOUN
fumecheng-12394	105	2	k	k	NOUN
fumecheng-12394	105	3	p	p	NOUN
fumecheng-12394	106	1	r	r	NOUN
fumecheng-12394	106	2	k	k	PROPN
fumecheng-12394	107	1	p	p	X
fumecheng-12394	108	1	k	k	PROPN
fumecheng-12394	109	1	t	t	PROPN
fumecheng-12394	110	1	k	k	PROPN
fumecheng-12394	110	2	t	t	PROPN
fumecheng-12394	110	3	p	p	NOUN
fumecheng-12394	110	4	r	r	PROPN
fumecheng-12394	110	5	k	k	PROPN
fumecheng-12394	110	6	k	k	PROPN
fumecheng-12394	110	7	t	t	PROPN
fumecheng-12394	110	8			VERB
fumecheng-12394	110	9	−	−	PROPN
fumecheng-12394	110	10	−	−	PROPN
fumecheng-12394	110	11	−	−	PROPN
fumecheng-12394	110	12			PROPN
fumecheng-12394	110	13			ADJ
fumecheng-12394	110	14			PROPN
fumecheng-12394	110	15			NOUN
fumecheng-12394	110	16			PROPN
fumecheng-12394	110	17			PROPN
fumecheng-12394	110	18			VERB
fumecheng-12394	110	19			PROPN
fumecheng-12394	110	20	=	=	PUNCT
fumecheng-12394	111	1	+	+	PUNCT
fumecheng-12394	111	2	=	=	SYM
fumecheng-12394	111	3	=	=	SYM
fumecheng-12394	112	1	+	+	NUM
fumecheng-12394	112	2	−	−	NOUN
fumecheng-12394	112	3	=	=	SYM
fumecheng-12394	112	4	−	−	NOUN
fumecheng-12394	112	5	+	+	NOUN
fumecheng-12394	113	1	=	=	PUNCT
fumecheng-12394	114	1	+	+	NUM
fumecheng-12394	115	1	=	=	SYM
fumecheng-12394	115	2	+	+	NUM
fumecheng-12394	115	3			NOUN
fumecheng-12394	115	4			NOUN
fumecheng-12394	115	5			NOUN
fumecheng-12394	115	6			NOUN
fumecheng-12394	115	7			ADJ
fumecheng-12394	115	8			NOUN
fumecheng-12394	115	9			PROPN
fumecheng-12394	115	10			ADJ
fumecheng-12394	115	11			NOUN
fumecheng-12394	115	12			NOUN
fumecheng-12394	115	13			ADJ
fumecheng-12394	115	14			NOUN
fumecheng-12394	115	15			PROPN
fumecheng-12394	115	16			PROPN
fumecheng-12394	115	17			NOUN
fumecheng-12394	115	18			ADJ
fumecheng-12394	115	19			NOUN
fumecheng-12394	115	20	.	.	PUNCT
fumecheng-12394	116	1	(	(	PUNCT
fumecheng-12394	116	2	7	7	X
fumecheng-12394	116	3	)	)	PUNCT
fumecheng-12394	116	4	the	the	DET
fumecheng-12394	116	5	general	general	ADJ
fumecheng-12394	116	6	solution	solution	NOUN
fumecheng-12394	116	7	of	of	ADP
fumecheng-12394	116	8	eq	eq	PROPN
fumecheng-12394	116	9	.	.	PUNCT
fumecheng-12394	117	1	(	(	PUNCT
fumecheng-12394	117	2	6	6	NUM
fumecheng-12394	117	3	)	)	PUNCT
fumecheng-12394	117	4	is	be	AUX
fumecheng-12394	117	5	(	(	PUNCT
fumecheng-12394	117	6	1	1	NUM
fumecheng-12394	117	7	)	)	PUNCT
fumecheng-12394	117	8	(	(	PUNCT
fumecheng-12394	117	9	2	2	NUM
fumecheng-12394	117	10	)	)	PUNCT
fumecheng-12394	117	11	(	(	PUNCT
fumecheng-12394	117	12	1	1	X
fumecheng-12394	117	13	)	)	PUNCT
fumecheng-12394	117	14	(	(	PUNCT
fumecheng-12394	117	15	2	2	NUM
fumecheng-12394	117	16	)	)	PUNCT
fumecheng-12394	117	17	0	0	NUM
fumecheng-12394	117	18	0	0	NUM
fumecheng-12394	117	19	0	0	NUM
fumecheng-12394	117	20	0	0	NUM
fumecheng-12394	117	21	(	(	PUNCT
fumecheng-12394	117	22	)	)	PUNCT
fumecheng-12394	117	23	(	(	PUNCT
fumecheng-12394	117	24	)	)	PUNCT
fumecheng-12394	117	25	(	(	PUNCT
fumecheng-12394	117	26	)	)	PUNCT
fumecheng-12394	117	27	,	,	PUNCT
fumecheng-12394	117	28	(	(	PUNCT
fumecheng-12394	117	29	)	)	PUNCT
fumecheng-12394	117	30	(	(	PUNCT
fumecheng-12394	117	31	)	)	PUNCT
fumecheng-12394	117	32	(	(	PUNCT
fumecheng-12394	117	33	)	)	PUNCT
fumecheng-12394	117	34	,	,	PUNCT
fumecheng-12394	117	35	m	m	VERB
fumecheng-12394	117	36	m	m	VERB
fumecheng-12394	117	37	m	m	VERB
fumecheng-12394	117	38	m	m	VERB
fumecheng-12394	117	39	m	m	VERB
fumecheng-12394	117	40	m	m	VERB
fumecheng-12394	117	41	m	m	VERB
fumecheng-12394	117	42	m	m	VERB
fumecheng-12394	117	43	m	m	VERB
fumecheng-12394	117	44	mr	mr	PROPN
fumecheng-12394	117	45	a	a	PRON
fumecheng-12394	117	46	i	i	PRON
fumecheng-12394	117	47	r	r	VERB
fumecheng-12394	117	48	a	a	PRON
fumecheng-12394	118	1	k	k	NOUN
fumecheng-12394	118	2	r	r	NOUN
fumecheng-12394	118	3	r	r	NOUN
fumecheng-12394	118	4	c	c	NOUN
fumecheng-12394	119	1	i	i	PRON
fumecheng-12394	119	2	r	r	NOUN
fumecheng-12394	119	3	c	c	NOUN
fumecheng-12394	119	4	k	k	X
fumecheng-12394	119	5	r=	r=	ADJ
fumecheng-12394	120	1	+	+	CCONJ
fumecheng-12394	121	1	=	=	SYM
fumecheng-12394	121	2	+	+	ADJ
fumecheng-12394	121	3			ADJ
fumecheng-12394	121	4			NOUN
fumecheng-12394	121	5			PRON
fumecheng-12394	121	6			VERB
fumecheng-12394	121	7			PROPN
fumecheng-12394	121	8			PROPN
fumecheng-12394	121	9	(	(	PUNCT
fumecheng-12394	121	10	8)	8)	NUM
fumecheng-12394	121	11	where	where	SCONJ
fumecheng-12394	121	12	(	(	PUNCT
fumecheng-12394	121	13	)	)	PUNCT
fumecheng-12394	121	14	(	(	PUNCT
fumecheng-12394	121	15	,	,	PUNCT
fumecheng-12394	121	16	)	)	PUNCT
fumecheng-12394	122	1	i	i	PRON
fumecheng-12394	122	2	ma	ma	PROPN
fumecheng-12394	123	1	k	k	PROPN
fumecheng-12394	123	2	p	p	PROPN
fumecheng-12394	123	3	,	,	PUNCT
fumecheng-12394	123	4	(	(	PUNCT
fumecheng-12394	123	5	)	)	PUNCT
fumecheng-12394	123	6	(	(	PUNCT
fumecheng-12394	123	7	,	,	PUNCT
fumecheng-12394	123	8	)	)	PUNCT
fumecheng-12394	124	1	i	i	PRON
fumecheng-12394	124	2	mc	mc	VERB
fumecheng-12394	125	1	k	k	PROPN
fumecheng-12394	125	2	p	p	X
fumecheng-12394	125	3	,	,	PUNCT
fumecheng-12394	125	4	(	(	PUNCT
fumecheng-12394	125	5	m=0,1,2	m=0,1,2	NUM
fumecheng-12394	125	6	)	)	PUNCT
fumecheng-12394	125	7	(	(	PUNCT
fumecheng-12394	125	8	i=1,2	i=1,2	NOUN
fumecheng-12394	125	9	)	)	PUNCT
fumecheng-12394	125	10	are	be	AUX
fumecheng-12394	125	11	arbitrary	arbitrary	ADJ
fumecheng-12394	125	12	,	,	PUNCT
fumecheng-12394	125	13	regarding	regard	VERB
fumecheng-12394	125	14	variable	variable	ADJ
fumecheng-12394	125	15	r	r	NOUN
fumecheng-12394	125	16	,	,	PUNCT
fumecheng-12394	125	17	integration	integration	NOUN
fumecheng-12394	125	18	constants	constant	NOUN
fumecheng-12394	125	19	.	.	PUNCT
fumecheng-12394	126	1	the	the	DET
fumecheng-12394	126	2	number	number	NOUN
fumecheng-12394	126	3	of	of	ADP
fumecheng-12394	126	4	these	these	DET
fumecheng-12394	126	5	constants	constant	NOUN
fumecheng-12394	126	6	is	be	AUX
fumecheng-12394	126	7	generally	generally	ADV
fumecheng-12394	126	8	12	12	NUM
fumecheng-12394	126	9	.	.	PUNCT
fumecheng-12394	127	1	it	it	PRON
fumecheng-12394	127	2	can	can	AUX
fumecheng-12394	127	3	be	be	AUX
fumecheng-12394	127	4	reduced	reduce	VERB
fumecheng-12394	127	5	based	base	VERB
fumecheng-12394	127	6	on	on	ADP
fumecheng-12394	127	7	the	the	DET
fumecheng-12394	127	8	following	follow	VERB
fumecheng-12394	127	9	considerations	consideration	NOUN
fumecheng-12394	127	10	.	.	PUNCT
fumecheng-12394	128	1	the	the	DET
fumecheng-12394	128	2	general	general	ADJ
fumecheng-12394	128	3	solutions	solution	NOUN
fumecheng-12394	128	4	given	give	VERB
fumecheng-12394	128	5	by	by	ADP
fumecheng-12394	128	6	eq	eq	PROPN
fumecheng-12394	128	7	.	.	PUNCT
fumecheng-12394	129	1	(	(	PUNCT
fumecheng-12394	129	2	8)	8)	NUM
fumecheng-12394	129	3	for	for	ADP
fumecheng-12394	129	4	all	all	DET
fumecheng-12394	129	5	three	three	NUM
fumecheng-12394	129	6	layers	layer	NOUN
fumecheng-12394	129	7	have	have	VERB
fumecheng-12394	129	8	the	the	DET
fumecheng-12394	129	9	same	same	ADJ
fumecheng-12394	129	10	structure	structure	NOUN
fumecheng-12394	129	11	.	.	PUNCT
fumecheng-12394	130	1	they	they	PRON
fumecheng-12394	130	2	should	should	AUX
fumecheng-12394	130	3	be	be	AUX
fumecheng-12394	130	4	finite	finite	ADJ
fumecheng-12394	130	5	in	in	ADP
fumecheng-12394	130	6	the	the	DET
fumecheng-12394	130	7	limits	limit	NOUN
fumecheng-12394	130	8	r	r	NOUN
fumecheng-12394	130	9	→	→	SYM
fumecheng-12394	130	10	0	0	NUM
fumecheng-12394	130	11	and	and	CCONJ
fumecheng-12394	130	12	r	r	PROPN
fumecheng-12394	130	13	→	→	SYM
fumecheng-12394	130	14	∞.	∞.	PROPN
fumecheng-12394	130	15	at	at	ADP
fumecheng-12394	130	16	the	the	DET
fumecheng-12394	130	17	same	same	ADJ
fumecheng-12394	130	18	time	time	NOUN
fumecheng-12394	130	19	,	,	PUNCT
fumecheng-12394	130	20	the	the	DET
fumecheng-12394	130	21	boundaries	boundary	NOUN
fumecheng-12394	130	22	of	of	ADP
fumecheng-12394	130	23	the	the	DET
fumecheng-12394	130	24	inner	inner	ADJ
fumecheng-12394	130	25	layer	layer	NOUN
fumecheng-12394	130	26	are	be	AUX
fumecheng-12394	130	27	smooth	smooth	ADJ
fumecheng-12394	130	28	a	a	PRON
fumecheng-12394	130	29	and	and	CCONJ
fumecheng-12394	130	30	r1	r1	NOUN
fumecheng-12394	130	31	,	,	PUNCT
fumecheng-12394	130	32	that	that	PRON
fumecheng-12394	130	33	is	be	AUX
fumecheng-12394	130	34	a	a	DET
fumecheng-12394	130	35	≤	≤	NUM
fumecheng-12394	130	36	r	r	NOUN
fumecheng-12394	130	37	≤	≤	NUM
fumecheng-12394	130	38	r1	r1	NOUN
fumecheng-12394	130	39	.	.	PUNCT
fumecheng-12394	131	1	it	it	PRON
fumecheng-12394	131	2	is	be	AUX
fumecheng-12394	131	3	bounded	bound	VERB
fumecheng-12394	131	4	from	from	ADP
fumecheng-12394	131	5	longitudinal	longitudinal	ADJ
fumecheng-12394	131	6	-	-	PUNCT
fumecheng-12394	131	7	radial	radial	ADJ
fumecheng-12394	131	8	vibrations	vibration	NOUN
fumecheng-12394	131	9	of	of	ADP
fumecheng-12394	131	10	a	a	DET
fumecheng-12394	131	11	viscoelastic	viscoelastic	ADJ
fumecheng-12394	131	12	cylindrical	cylindrical	ADJ
fumecheng-12394	131	13	three	three	NUM
fumecheng-12394	131	14	-	-	PUNCT
fumecheng-12394	131	15	layer	layer	NOUN
fumecheng-12394	131	16	structure	structure	NOUN
fumecheng-12394	131	17	477	477	NUM
fumecheng-12394	131	18	below	below	ADV
fumecheng-12394	131	19	(	(	PUNCT
fumecheng-12394	131	20	from	from	ADP
fumecheng-12394	131	21	the	the	DET
fumecheng-12394	131	22	inside	inside	NOUN
fumecheng-12394	131	23	)	)	PUNCT
fumecheng-12394	131	24	by	by	ADP
fumecheng-12394	131	25	the	the	DET
fumecheng-12394	131	26	surface	surface	NOUN
fumecheng-12394	131	27	r	r	NOUN
fumecheng-12394	131	28	=	=	SYM
fumecheng-12394	131	29	a	a	NOUN
fumecheng-12394	131	30	,	,	PUNCT
fumecheng-12394	131	31	which	which	PRON
fumecheng-12394	131	32	may	may	AUX
fumecheng-12394	131	33	tend	tend	VERB
fumecheng-12394	131	34	to	to	PART
fumecheng-12394	131	35	zero	zero	NUM
fumecheng-12394	131	36	in	in	ADP
fumecheng-12394	131	37	the	the	DET
fumecheng-12394	131	38	limit	limit	NOUN
fumecheng-12394	131	39	,	,	PUNCT
fumecheng-12394	131	40	but	but	CCONJ
fumecheng-12394	131	41	exceed	exceed	VERB
fumecheng-12394	131	42	in	in	ADP
fumecheng-12394	131	43	no	no	DET
fumecheng-12394	131	44	way	way	NOUN
fumecheng-12394	131	45	the	the	DET
fumecheng-12394	131	46	values	value	NOUN
fumecheng-12394	131	47	of	of	ADP
fumecheng-12394	131	48	r1	r1	NOUN
fumecheng-12394	131	49	,	,	PUNCT
fumecheng-12394	131	50	i.e.	i.e.	X
fumecheng-12394	131	51	it	it	PRON
fumecheng-12394	131	52	can	can	AUX
fumecheng-12394	131	53	not	not	PART
fumecheng-12394	131	54	strive	strive	VERB
fumecheng-12394	131	55	for	for	ADP
fumecheng-12394	131	56	infinity	infinity	NOUN
fumecheng-12394	131	57	.	.	PUNCT
fumecheng-12394	132	1	therefore	therefore	ADV
fumecheng-12394	132	2	,	,	PUNCT
fumecheng-12394	132	3	in	in	ADP
fumecheng-12394	132	4	general	general	ADJ
fumecheng-12394	132	5	solutions	solution	NOUN
fumecheng-12394	132	6	for	for	ADP
fumecheng-12394	132	7	the	the	DET
fumecheng-12394	132	8	potential	potential	ADJ
fumecheng-12394	132	9	functions	function	NOUN
fumecheng-12394	132	10	of	of	ADP
fumecheng-12394	132	11	the	the	DET
fumecheng-12394	132	12	inner	inner	ADJ
fumecheng-12394	132	13	layer	layer	NOUN
fumecheng-12394	132	14	1	1	NUM
fumecheng-12394	132	15	(	(	PUNCT
fumecheng-12394	132	16	)	)	PUNCT
fumecheng-12394	132	17	r	r	NUM
fumecheng-12394	132	18	,	,	PUNCT
fumecheng-12394	132	19	1	1	NUM
fumecheng-12394	132	20	(	(	PUNCT
fumecheng-12394	132	21	)	)	PUNCT
fumecheng-12394	132	22	r	r	NOUN
fumecheng-12394	132	23	,	,	PUNCT
fumecheng-12394	132	24	we	we	PRON
fumecheng-12394	132	25	can	can	AUX
fumecheng-12394	132	26	limit	limit	VERB
fumecheng-12394	132	27	ourselves	ourselves	PRON
fumecheng-12394	132	28	to	to	ADP
fumecheng-12394	132	29	taking	take	VERB
fumecheng-12394	132	30	into	into	ADP
fumecheng-12394	132	31	account	account	NOUN
fumecheng-12394	132	32	their	their	PRON
fumecheng-12394	132	33	layer	layer	NOUN
fumecheng-12394	132	34	in	in	ADP
fumecheng-12394	132	35	the	the	DET
fumecheng-12394	132	36	form	form	NOUN
fumecheng-12394	132	37	of	of	ADP
fumecheng-12394	132	38	:	:	PUNCT
fumecheng-12394	132	39	1	1	NUM
fumecheng-12394	132	40	1	1	NUM
fumecheng-12394	132	41	0	0	NUM
fumecheng-12394	132	42	1	1	NUM
fumecheng-12394	132	43	1	1	NUM
fumecheng-12394	132	44	1	1	NUM
fumecheng-12394	132	45	0	0	NUM
fumecheng-12394	132	46	1	1	NUM
fumecheng-12394	132	47	(	(	PUNCT
fumecheng-12394	132	48	)	)	PUNCT
fumecheng-12394	132	49	(	(	PUNCT
fumecheng-12394	132	50	)	)	PUNCT
fumecheng-12394	132	51	,	,	PUNCT
fumecheng-12394	132	52	(	(	PUNCT
fumecheng-12394	132	53	)	)	PUNCT
fumecheng-12394	132	54	(	(	PUNCT
fumecheng-12394	132	55	)	)	PUNCT
fumecheng-12394	132	56	.r	.r	NOUN
fumecheng-12394	133	1	a	a	PRON
fumecheng-12394	134	1	i	i	NOUN
fumecheng-12394	134	2	r	r	NOUN
fumecheng-12394	134	3	r	r	NOUN
fumecheng-12394	134	4	d	d	NOUN
fumecheng-12394	134	5	i	i	PRON
fumecheng-12394	134	6	r=	r=	VERB
fumecheng-12394	134	7	=	=	VERB
fumecheng-12394	134	8			ADJ
fumecheng-12394	134	9			X
fumecheng-12394	134	10			AUX
fumecheng-12394	134	11			NOUN
fumecheng-12394	134	12	(	(	PUNCT
fumecheng-12394	134	13	9	9	NUM
fumecheng-12394	134	14	)	)	PUNCT
fumecheng-12394	134	15	similarly	similarly	ADV
fumecheng-12394	134	16	,	,	PUNCT
fumecheng-12394	134	17	the	the	DET
fumecheng-12394	134	18	boundaries	boundary	NOUN
fumecheng-12394	134	19	of	of	ADP
fumecheng-12394	134	20	the	the	DET
fumecheng-12394	134	21	second	second	ADJ
fumecheng-12394	134	22	,	,	PUNCT
fumecheng-12394	134	23	outer	outer	ADJ
fumecheng-12394	134	24	layer	layer	NOUN
fumecheng-12394	134	25	are	be	AUX
fumecheng-12394	134	26	cylindrical	cylindrical	ADJ
fumecheng-12394	134	27	surfaces	surface	NOUN
fumecheng-12394	134	28	with	with	ADP
fumecheng-12394	134	29	radii	radii	NOUN
fumecheng-12394	134	30	r	r	NOUN
fumecheng-12394	134	31	=	=	SYM
fumecheng-12394	134	32	r2	r2	PROPN
fumecheng-12394	134	33	and	and	CCONJ
fumecheng-12394	134	34	r	r	NOUN
fumecheng-12394	134	35	=	=	SYM
fumecheng-12394	134	36	b	b	PROPN
fumecheng-12394	134	37	that	that	PRON
fumecheng-12394	134	38	is	be	AUX
fumecheng-12394	134	39	r2	r2	PROPN
fumecheng-12394	134	40	≤	≤	NUM
fumecheng-12394	134	41	r	r	NOUN
fumecheng-12394	134	42	≤b	≤b	NOUN
fumecheng-12394	134	43	.	.	PUNCT
fumecheng-12394	135	1	this	this	DET
fumecheng-12394	135	2	layer	layer	NOUN
fumecheng-12394	135	3	is	be	AUX
fumecheng-12394	135	4	bounded	bound	VERB
fumecheng-12394	135	5	externally	externally	ADV
fumecheng-12394	135	6	by	by	ADP
fumecheng-12394	135	7	the	the	DET
fumecheng-12394	135	8	surface	surface	NOUN
fumecheng-12394	135	9	of	of	ADP
fumecheng-12394	135	10	radius	radius	NOUN
fumecheng-12394	135	11	r	r	NOUN
fumecheng-12394	135	12	=	=	SYM
fumecheng-12394	135	13	b	b	PROPN
fumecheng-12394	135	14	,	,	PUNCT
fumecheng-12394	135	15	which	which	PRON
fumecheng-12394	135	16	may	may	AUX
fumecheng-12394	135	17	tend	tend	VERB
fumecheng-12394	135	18	to	to	PART
fumecheng-12394	135	19	infinity	infinity	VERB
fumecheng-12394	135	20	,	,	PUNCT
fumecheng-12394	135	21	i.e.	i.e.	X
fumecheng-12394	135	22	b	b	X
fumecheng-12394	135	23	→	→	SYM
fumecheng-12394	135	24	∞.	∞.	PROPN
fumecheng-12394	135	25	on	on	ADP
fumecheng-12394	135	26	the	the	DET
fumecheng-12394	135	27	other	other	ADJ
fumecheng-12394	135	28	hand	hand	NOUN
fumecheng-12394	135	29	,	,	PUNCT
fumecheng-12394	135	30	the	the	DET
fumecheng-12394	135	31	inner	inner	ADJ
fumecheng-12394	135	32	surface	surface	NOUN
fumecheng-12394	135	33	of	of	ADP
fumecheng-12394	135	34	this	this	DET
fumecheng-12394	135	35	layer	layer	NOUN
fumecheng-12394	135	36	can	can	AUX
fumecheng-12394	135	37	not	not	PART
fumecheng-12394	135	38	be	be	AUX
fumecheng-12394	135	39	tightened	tighten	VERB
fumecheng-12394	135	40	to	to	ADP
fumecheng-12394	135	41	a	a	DET
fumecheng-12394	135	42	straight	straight	ADJ
fumecheng-12394	135	43	line	line	NOUN
fumecheng-12394	135	44	,	,	PUNCT
fumecheng-12394	135	45	because	because	SCONJ
fumecheng-12394	135	46	this	this	PRON
fumecheng-12394	135	47	would	would	AUX
fumecheng-12394	135	48	lead	lead	VERB
fumecheng-12394	135	49	to	to	ADP
fumecheng-12394	135	50	a	a	DET
fumecheng-12394	135	51	homogeneous	homogeneous	ADJ
fumecheng-12394	135	52	rod	rod	NOUN
fumecheng-12394	135	53	of	of	ADP
fumecheng-12394	135	54	circular	circular	ADJ
fumecheng-12394	135	55	cross	cross	NOUN
fumecheng-12394	135	56	-	-	NOUN
fumecheng-12394	135	57	section	section	NOUN
fumecheng-12394	135	58	of	of	ADP
fumecheng-12394	135	59	radius	radius	NOUN
fumecheng-12394	135	60	r	r	PROPN
fumecheng-12394	135	61	=	=	PROPN
fumecheng-12394	135	62	b.	b.	PROPN
fumecheng-12394	135	63	therefore	therefore	ADV
fumecheng-12394	135	64	,	,	PUNCT
fumecheng-12394	135	65	in	in	ADP
fumecheng-12394	135	66	general	general	ADJ
fumecheng-12394	135	67	solutions	solution	NOUN
fumecheng-12394	135	68	for	for	ADP
fumecheng-12394	135	69	the	the	DET
fumecheng-12394	135	70	potential	potential	ADJ
fumecheng-12394	135	71	functions	function	NOUN
fumecheng-12394	135	72	of	of	ADP
fumecheng-12394	135	73	the	the	DET
fumecheng-12394	135	74	outer	outer	ADJ
fumecheng-12394	135	75	layer	layer	NOUN
fumecheng-12394	135	76	2	2	NUM
fumecheng-12394	135	77	(	(	PUNCT
fumecheng-12394	135	78	)	)	PUNCT
fumecheng-12394	135	79	r	r	NUM
fumecheng-12394	135	80	,	,	PUNCT
fumecheng-12394	135	81	2	2	NUM
fumecheng-12394	135	82	(	(	PUNCT
fumecheng-12394	135	83	)	)	PUNCT
fumecheng-12394	135	84	r	r	NOUN
fumecheng-12394	135	85	,	,	PUNCT
fumecheng-12394	135	86	we	we	PRON
fumecheng-12394	135	87	can	can	AUX
fumecheng-12394	135	88	limit	limit	VERB
fumecheng-12394	135	89	ourselves	ourselves	PRON
fumecheng-12394	135	90	to	to	ADP
fumecheng-12394	135	91	taking	take	VERB
fumecheng-12394	135	92	into	into	ADP
fumecheng-12394	135	93	account	account	NOUN
fumecheng-12394	135	94	its	its	PRON
fumecheng-12394	135	95	limitations	limitation	NOUN
fumecheng-12394	135	96	only	only	ADV
fumecheng-12394	135	97	at	at	ADP
fumecheng-12394	135	98	r	r	NOUN
fumecheng-12394	135	99	→	→	SYM
fumecheng-12394	135	100	∞.	∞.	PROPN
fumecheng-12394	135	101	based	base	VERB
fumecheng-12394	135	102	on	on	ADP
fumecheng-12394	135	103	this	this	PRON
fumecheng-12394	135	104	,	,	PUNCT
fumecheng-12394	135	105	we	we	PRON
fumecheng-12394	135	106	will	will	AUX
fumecheng-12394	135	107	take	take	VERB
fumecheng-12394	135	108	the	the	DET
fumecheng-12394	135	109	general	general	ADJ
fumecheng-12394	135	110	solution	solution	NOUN
fumecheng-12394	135	111	,	,	PUNCT
fumecheng-12394	135	112	eq	eq	NOUN
fumecheng-12394	135	113	.	.	PUNCT
fumecheng-12394	136	1	(	(	PUNCT
fumecheng-12394	136	2	8)	8)	NUM
fumecheng-12394	136	3	,	,	PUNCT
fumecheng-12394	136	4	for	for	ADP
fumecheng-12394	136	5	the	the	DET
fumecheng-12394	136	6	outer	outer	ADJ
fumecheng-12394	136	7	layer	layer	NOUN
fumecheng-12394	136	8	as	as	ADP
fumecheng-12394	136	9	:	:	PUNCT
fumecheng-12394	136	10	2	2	NUM
fumecheng-12394	136	11	2	2	NUM
fumecheng-12394	136	12	0	0	NUM
fumecheng-12394	136	13	2	2	NUM
fumecheng-12394	136	14	2	2	NUM
fumecheng-12394	136	15	2	2	NUM
fumecheng-12394	136	16	0	0	NUM
fumecheng-12394	136	17	2	2	NUM
fumecheng-12394	136	18	2	2	NUM
fumecheng-12394	136	19	(	(	PUNCT
fumecheng-12394	136	20	)	)	PUNCT
fumecheng-12394	136	21	(	(	PUNCT
fumecheng-12394	136	22	)	)	PUNCT
fumecheng-12394	136	23	(	(	PUNCT
fumecheng-12394	136	24	)	)	PUNCT
fumecheng-12394	136	25	,	,	PUNCT
fumecheng-12394	136	26	(	(	PUNCT
fumecheng-12394	136	27	)	)	PUNCT
fumecheng-12394	136	28	(	(	PUNCT
fumecheng-12394	136	29	)	)	PUNCT
fumecheng-12394	136	30	,	,	PUNCT
fumecheng-12394	136	31	r	r	NOUN
fumecheng-12394	136	32	r	r	NOUN
fumecheng-12394	136	33	br	br	NOUN
fumecheng-12394	136	34	a	a	DET
fumecheng-12394	136	35	k	k	NOUN
fumecheng-12394	136	36	r	r	NOUN
fumecheng-12394	136	37	r	r	NOUN
fumecheng-12394	136	38	d	d	X
fumecheng-12394	136	39	k	k	NOUN
fumecheng-12394	136	40	r	r	NOUN
fumecheng-12394	136	41			NOUN
fumecheng-12394	136	42	=	=	NOUN
fumecheng-12394	136	43	=	=	SYM
fumecheng-12394	136	44			PROPN
fumecheng-12394	136	45			X
fumecheng-12394	136	46			AUX
fumecheng-12394	136	47			PROPN
fumecheng-12394	136	48	.	.	PUNCT
fumecheng-12394	137	1	(	(	PUNCT
fumecheng-12394	137	2	10	10	NUM
fumecheng-12394	137	3	)	)	PUNCT
fumecheng-12394	137	4	for	for	ADP
fumecheng-12394	137	5	the	the	DET
fumecheng-12394	137	6	middle	middle	ADJ
fumecheng-12394	137	7	layer	layer	NOUN
fumecheng-12394	137	8	,	,	PUNCT
fumecheng-12394	137	9	we	we	PRON
fumecheng-12394	137	10	will	will	AUX
fumecheng-12394	137	11	take	take	VERB
fumecheng-12394	137	12	general	general	ADJ
fumecheng-12394	137	13	solutions	solution	NOUN
fumecheng-12394	137	14	.	.	PUNCT
fumecheng-12394	138	1	eq	eq	X
fumecheng-12394	138	2	.	.	PUNCT
fumecheng-12394	139	1	(	(	PUNCT
fumecheng-12394	139	2	8)	8)	NUM
fumecheng-12394	139	3	,	,	PUNCT
fumecheng-12394	139	4	considering	consider	VERB
fumecheng-12394	139	5	that	that	SCONJ
fumecheng-12394	139	6	these	these	DET
fumecheng-12394	139	7	solutions	solution	NOUN
fumecheng-12394	139	8	,	,	PUNCT
fumecheng-12394	139	9	in	in	ADP
fumecheng-12394	139	10	the	the	DET
fumecheng-12394	139	11	absence	absence	NOUN
fumecheng-12394	139	12	of	of	ADP
fumecheng-12394	139	13	the	the	DET
fumecheng-12394	139	14	two	two	NUM
fumecheng-12394	139	15	outer	outer	ADJ
fumecheng-12394	139	16	layers	layer	NOUN
fumecheng-12394	139	17	,	,	PUNCT
fumecheng-12394	139	18	should	should	AUX
fumecheng-12394	139	19	transform	transform	VERB
fumecheng-12394	139	20	into	into	ADP
fumecheng-12394	139	21	known	know	VERB
fumecheng-12394	139	22	solutions	solution	NOUN
fumecheng-12394	139	23	for	for	ADP
fumecheng-12394	139	24	a	a	DET
fumecheng-12394	139	25	homogeneous	homogeneous	ADJ
fumecheng-12394	139	26	cylindrical	cylindrical	ADJ
fumecheng-12394	139	27	layer	layer	NOUN
fumecheng-12394	139	28	,	,	PUNCT
fumecheng-12394	139	29	limited	limit	VERB
fumecheng-12394	139	30	at	at	ADP
fumecheng-12394	139	31	r	r	NOUN
fumecheng-12394	139	32	→	→	SYM
fumecheng-12394	139	33	0	0	NUM
fumecheng-12394	139	34	and	and	CCONJ
fumecheng-12394	139	35	r	r	NOUN
fumecheng-12394	139	36	→	→	SYM
fumecheng-12394	139	37	∞	∞	NUM
fumecheng-12394	139	38	at	at	ADP
fumecheng-12394	139	39	the	the	DET
fumecheng-12394	139	40	same	same	ADJ
fumecheng-12394	139	41	time	time	NOUN
fumecheng-12394	139	42	:	:	PUNCT
fumecheng-12394	139	43	0	0	NUM
fumecheng-12394	140	1	1	1	NUM
fumecheng-12394	140	2	0	0	NUM
fumecheng-12394	140	3	0	0	NUM
fumecheng-12394	140	4	2	2	NUM
fumecheng-12394	140	5	0	0	NUM
fumecheng-12394	140	6	0	0	NUM
fumecheng-12394	140	7	0	0	NUM
fumecheng-12394	140	8	1	1	NUM
fumecheng-12394	140	9	0	0	NUM
fumecheng-12394	140	10	0	0	NUM
fumecheng-12394	140	11	2	2	NUM
fumecheng-12394	140	12	0	0	NUM
fumecheng-12394	140	13	0	0	NUM
fumecheng-12394	140	14	1	1	NUM
fumecheng-12394	140	15	2	2	NUM
fumecheng-12394	140	16	(	(	PUNCT
fumecheng-12394	140	17	)	)	PUNCT
fumecheng-12394	140	18	(	(	PUNCT
fumecheng-12394	140	19	)	)	PUNCT
fumecheng-12394	140	20	(	(	PUNCT
fumecheng-12394	140	21	)	)	PUNCT
fumecheng-12394	140	22	,	,	PUNCT
fumecheng-12394	140	23	(	(	PUNCT
fumecheng-12394	140	24	)	)	PUNCT
fumecheng-12394	140	25	(	(	PUNCT
fumecheng-12394	140	26	)	)	PUNCT
fumecheng-12394	140	27	(	(	PUNCT
fumecheng-12394	140	28	)	)	PUNCT
fumecheng-12394	140	29	,	,	PUNCT
fumecheng-12394	140	30	r	r	NOUN
fumecheng-12394	140	31	r	r	NOUN
fumecheng-12394	140	32	rr	rr	NOUN
fumecheng-12394	140	33	b	b	NOUN
fumecheng-12394	140	34	i	i	NOUN
fumecheng-12394	140	35	r	r	NOUN
fumecheng-12394	140	36	b	b	X
fumecheng-12394	140	37	k	k	NOUN
fumecheng-12394	140	38	r	r	NOUN
fumecheng-12394	140	39	r	r	NOUN
fumecheng-12394	141	1	c	c	NOUN
fumecheng-12394	142	1	i	i	NOUN
fumecheng-12394	142	2	r	r	NOUN
fumecheng-12394	142	3	c	c	NOUN
fumecheng-12394	142	4	k	k	NOUN
fumecheng-12394	142	5	r	r	NOUN
fumecheng-12394	142	6			NOUN
fumecheng-12394	142	7	=	=	NOUN
fumecheng-12394	142	8	+	+	PUNCT
fumecheng-12394	142	9	=	=	SYM
fumecheng-12394	142	10	+	+	ADJ
fumecheng-12394	142	11			ADJ
fumecheng-12394	142	12			NOUN
fumecheng-12394	142	13			PRON
fumecheng-12394	142	14			VERB
fumecheng-12394	142	15			PROPN
fumecheng-12394	142	16			PROPN
fumecheng-12394	142	17	(	(	PUNCT
fumecheng-12394	142	18	11	11	NUM
fumecheng-12394	142	19	)	)	PUNCT
fumecheng-12394	142	20	thus	thus	ADV
fumecheng-12394	142	21	,	,	PUNCT
fumecheng-12394	142	22	the	the	DET
fumecheng-12394	142	23	number	number	NOUN
fumecheng-12394	142	24	of	of	ADP
fumecheng-12394	142	25	integration	integration	NOUN
fumecheng-12394	142	26	constants	constant	NOUN
fumecheng-12394	142	27	to	to	PART
fumecheng-12394	142	28	be	be	AUX
fumecheng-12394	142	29	determined	determine	VERB
fumecheng-12394	142	30	from	from	ADP
fumecheng-12394	142	31	the	the	DET
fumecheng-12394	142	32	contact	contact	NOUN
fumecheng-12394	142	33	conditions	condition	NOUN
fumecheng-12394	142	34	is	be	AUX
fumecheng-12394	142	35	reduced	reduce	VERB
fumecheng-12394	142	36	to	to	ADP
fumecheng-12394	142	37	eight	eight	NUM
fumecheng-12394	142	38	.	.	PUNCT
fumecheng-12394	143	1	let	let	VERB
fumecheng-12394	143	2	us	we	PRON
fumecheng-12394	143	3	assume	assume	VERB
fumecheng-12394	143	4	the	the	DET
fumecheng-12394	143	5	stress	stress	NOUN
fumecheng-12394	143	6	components	component	NOUN
fumecheng-12394	143	7	,	,	PUNCT
fumecheng-12394	143	8	both	both	PRON
fumecheng-12394	143	9	(	(	PUNCT
fumecheng-12394	143	10	)	)	PUNCT
fumecheng-12394	143	11	(	(	PUNCT
fumecheng-12394	143	12	,	,	PUNCT
fumecheng-12394	143	13	,	,	PUNCT
fumecheng-12394	143	14	)	)	PUNCT
fumecheng-12394	143	15	m	m	PROPN
fumecheng-12394	143	16	rr	rr	NOUN
fumecheng-12394	143	17	r	r	PROPN
fumecheng-12394	143	18	z	z	PROPN
fumecheng-12394	143	19	t	t	PROPN
fumecheng-12394	143	20	and	and	CCONJ
fumecheng-12394	143	21	(	(	PUNCT
fumecheng-12394	143	22	)	)	PUNCT
fumecheng-12394	143	23	(	(	PUNCT
fumecheng-12394	143	24	,	,	PUNCT
fumecheng-12394	143	25	,	,	PUNCT
fumecheng-12394	143	26	)	)	PUNCT
fumecheng-12394	143	27	m	m	NOUN
fumecheng-12394	143	28	rz	rz	NOUN
fumecheng-12394	143	29	r	r	NOUN
fumecheng-12394	143	30	z	z	NOUN
fumecheng-12394	143	31	t	t	NOUN
fumecheng-12394	143	32	as	as	ADP
fumecheng-12394	143	33	(	(	PUNCT
fumecheng-12394	143	34	)	)	PUNCT
fumecheng-12394	143	35	(	(	PUNCT
fumecheng-12394	143	36	)	)	PUNCT
fumecheng-12394	143	37	(	(	PUNCT
fumecheng-12394	143	38	)	)	PUNCT
fumecheng-12394	143	39	(	(	PUNCT
fumecheng-12394	143	40	)	)	PUNCT
fumecheng-12394	143	41	(	(	PUNCT
fumecheng-12394	143	42	)	)	PUNCT
fumecheng-12394	143	43	(	(	PUNCT
fumecheng-12394	143	44	)	)	PUNCT
fumecheng-12394	143	45	0	0	NUM
fumecheng-12394	143	46	0	0	NUM
fumecheng-12394	143	47	sin	sin	NOUN
fumecheng-12394	143	48	cos	cos	PROPN
fumecheng-12394	143	49	,	,	PUNCT
fumecheng-12394	143	50	cos	cos	PROPN
fumecheng-12394	143	51	sin	sin	PROPN
fumecheng-12394	143	52	m	m	VERB
fumecheng-12394	143	53	m	m	VERB
fumecheng-12394	143	54	pt	pt	INTJ
fumecheng-12394	143	55	m	m	PROPN
fumecheng-12394	143	56	m	m	PROPN
fumecheng-12394	143	57	pt	pt	PROPN
fumecheng-12394	143	58	rr	rr	PROPN
fumecheng-12394	143	59	rr	rr	PROPN
fumecheng-12394	143	60	rz	rz	PROPN
fumecheng-12394	143	61	rz	rz	PROPN
fumecheng-12394	143	62	l	l	PROPN
fumecheng-12394	143	63	l	l	PROPN
fumecheng-12394	143	64	kz	kz	PROPN
fumecheng-12394	143	65	kz	kz	PROPN
fumecheng-12394	143	66	dk	dk	PROPN
fumecheng-12394	143	67	e	e	PROPN
fumecheng-12394	143	68	dp	dp	NOUN
fumecheng-12394	144	1	dk	dk	PROPN
fumecheng-12394	144	2	e	e	PROPN
fumecheng-12394	144	3	dp	dp	NOUN
fumecheng-12394	144	4	kz	kz	PROPN
fumecheng-12394	144	5	kz	kz	PROPN
fumecheng-12394	144	6			PROPN
fumecheng-12394	144	7			PUNCT
fumecheng-12394	144	8			PROPN
fumecheng-12394	144	9	=	=	PUNCT
fumecheng-12394	145	1	=	=	X
fumecheng-12394	145	2			NOUN
fumecheng-12394	145	3			NOUN
fumecheng-12394	145	4	−	−	PROPN
fumecheng-12394	146	1			X
fumecheng-12394	146	2			X
fumecheng-12394	146	3			X
fumecheng-12394	146	4			X
fumecheng-12394	146	5			X
fumecheng-12394	146	6			NUM
fumecheng-12394	146	7			PROPN
fumecheng-12394	146	8			NOUN
fumecheng-12394	146	9			NOUN
fumecheng-12394	146	10	.	.	PUNCT
fumecheng-12394	147	1	(	(	PUNCT
fumecheng-12394	147	2	12	12	NUM
fumecheng-12394	147	3	)	)	PUNCT
fumecheng-12394	147	4	substituting	substitute	VERB
fumecheng-12394	147	5	eqs	eqs	PROPN
fumecheng-12394	147	6	.	.	PUNCT
fumecheng-12394	148	1	(	(	PUNCT
fumecheng-12394	148	2	12	12	NUM
fumecheng-12394	148	3	)	)	PUNCT
fumecheng-12394	148	4	and	and	CCONJ
fumecheng-12394	148	5	(	(	PUNCT
fumecheng-12394	148	6	5	5	NUM
fumecheng-12394	148	7	)	)	PUNCT
fumecheng-12394	148	8	in	in	ADP
fumecheng-12394	148	9	the	the	DET
fumecheng-12394	148	10	boundary	boundary	ADJ
fumecheng-12394	148	11	conditions	condition	NOUN
fumecheng-12394	148	12	,	,	PUNCT
fumecheng-12394	148	13	eq	eq	NOUN
fumecheng-12394	148	14	.	.	PUNCT
fumecheng-12394	149	1	(	(	PUNCT
fumecheng-12394	149	2	2	2	NUM
fumecheng-12394	149	3	)	)	PUNCT
fumecheng-12394	149	4	,	,	PUNCT
fumecheng-12394	149	5	and	and	CCONJ
fumecheng-12394	149	6	expressing	express	VERB
fumecheng-12394	149	7	them	they	PRON
fumecheng-12394	149	8	in	in	ADP
fumecheng-12394	149	9	terms	term	NOUN
fumecheng-12394	149	10	of	of	ADP
fumecheng-12394	149	11	solutions	solution	NOUN
fumecheng-12394	149	12	given	give	VERB
fumecheng-12394	149	13	by	by	ADP
fumecheng-12394	149	14	eqs	eqs	PROPN
fumecheng-12394	149	15	.	.	PUNCT
fumecheng-12394	150	1	(	(	PUNCT
fumecheng-12394	150	2	9	9	NUM
fumecheng-12394	150	3	)	)	PUNCT
fumecheng-12394	150	4	and	and	CCONJ
fumecheng-12394	150	5	(	(	PUNCT
fumecheng-12394	150	6	10	10	NUM
fumecheng-12394	150	7	)	)	PUNCT
fumecheng-12394	150	8	,	,	PUNCT
fumecheng-12394	150	9	we	we	PRON
fumecheng-12394	150	10	obtain	obtain	VERB
fumecheng-12394	150	11	:	:	PUNCT
fumecheng-12394	150	12	1	1	NUM
fumecheng-12394	150	13	1	1	NUM
fumecheng-12394	150	14	2	2	NUM
fumecheng-12394	150	15	2	2	NUM
fumecheng-12394	150	16	2	2	NUM
fumecheng-12394	150	17	1	1	NUM
fumecheng-12394	150	18	(	(	PUNCT
fumecheng-12394	150	19	1)1	1)1	NUM
fumecheng-12394	150	20	1	1	NUM
fumecheng-12394	150	21	1	1	NUM
fumecheng-12394	150	22	0	0	NUM
fumecheng-12394	150	23	1	1	NUM
fumecheng-12394	150	24	1	1	NUM
fumecheng-12394	150	25	1	1	NUM
fumecheng-12394	150	26	1	1	NUM
fumecheng-12394	150	27	1	1	NUM
fumecheng-12394	150	28	0	0	NUM
fumecheng-12394	150	29	1	1	NUM
fumecheng-12394	150	30	1	1	NUM
fumecheng-12394	150	31	1	1	NUM
fumecheng-12394	150	32	,	,	PUNCT
fumecheng-12394	150	33	1	1	NUM
fumecheng-12394	150	34	2	2	NUM
fumecheng-12394	150	35	2	2	NUM
fumecheng-12394	150	36	1	1	NUM
fumecheng-12394	150	37	(	(	PUNCT
fumecheng-12394	150	38	1	1	NUM
fumecheng-12394	150	39	)	)	SYM
fumecheng-12394	150	40	1	1	NUM
fumecheng-12394	150	41	1	1	NUM
fumecheng-12394	150	42	1	1	NUM
fumecheng-12394	150	43	1	1	NUM
fumecheng-12394	150	44	1	1	NUM
fumecheng-12394	150	45	1	1	NUM
fumecheng-12394	150	46	1	1	NUM
fumecheng-12394	150	47	1	1	NUM
fumecheng-12394	150	48	1	1	NUM
fumecheng-12394	150	49	2	2	NUM
fumecheng-12394	150	50	2	2	NUM
fumecheng-12394	150	51	(	(	PUNCT
fumecheng-12394	150	52	)	)	PUNCT
fumecheng-12394	150	53	(	(	PUNCT
fumecheng-12394	150	54	)	)	PUNCT
fumecheng-12394	150	55	(	(	PUNCT
fumecheng-12394	150	56	)	)	PUNCT
fumecheng-12394	150	57	2	2	NUM
fumecheng-12394	150	58	(	(	PUNCT
fumecheng-12394	150	59	)	)	PUNCT
fumecheng-12394	150	60	(	(	PUNCT
fumecheng-12394	150	61	)	)	PUNCT
fumecheng-12394	150	62	(	(	PUNCT
fumecheng-12394	150	63	,	,	PUNCT
fumecheng-12394	150	64	)	)	PUNCT
fumecheng-12394	150	65	,	,	PUNCT
fumecheng-12394	150	66	2	2	NUM
fumecheng-12394	150	67	(	(	PUNCT
fumecheng-12394	150	68	)	)	PUNCT
fumecheng-12394	150	69	(	(	PUNCT
fumecheng-12394	150	70	)	)	PUNCT
fumecheng-12394	150	71	(	(	PUNCT
fumecheng-12394	150	72	)	)	PUNCT
fumecheng-12394	150	73	(	(	PUNCT
fumecheng-12394	150	74	,	,	PUNCT
fumecheng-12394	150	75	)	)	PUNCT
fumecheng-12394	150	76	,	,	PUNCT
fumecheng-12394	151	1	r	r	NOUN
fumecheng-12394	151	2	rz	rz	NOUN
fumecheng-12394	151	3	k	k	PROPN
fumecheng-12394	151	4	k	k	PROPN
fumecheng-12394	152	1	i	i	PRON
fumecheng-12394	153	1	a	a	PRON
fumecheng-12394	154	1	i	i	PRON
fumecheng-12394	155	1	a	a	DET
fumecheng-12394	155	2	a	a	X
fumecheng-12394	155	3	k	k	X
fumecheng-12394	155	4	i	i	PRON
fumecheng-12394	155	5	a	a	PRON
fumecheng-12394	155	6	i	i	PRON
fumecheng-12394	155	7	a	a	NOUN
fumecheng-12394	156	1	d	d	NOUN
fumecheng-12394	156	2	r	r	NOUN
fumecheng-12394	156	3	f	f	PROPN
fumecheng-12394	156	4	k	k	NOUN
fumecheng-12394	157	1	p	p	X
fumecheng-12394	157	2	a	a	DET
fumecheng-12394	157	3	a	a	X
fumecheng-12394	157	4	k	k	X
fumecheng-12394	158	1	i	i	PRON
fumecheng-12394	158	2	a	a	PRON
fumecheng-12394	158	3	a	a	X
fumecheng-12394	159	1	k	k	X
fumecheng-12394	160	1	i	i	PRON
fumecheng-12394	160	2	a	a	PROPN
fumecheng-12394	161	1	d	d	X
fumecheng-12394	161	2	r	r	NOUN
fumecheng-12394	161	3	f	f	PROPN
fumecheng-12394	161	4	k	k	PROPN
fumecheng-12394	162	1	p	p	NOUN
fumecheng-12394	162	2	−	−	PROPN
fumecheng-12394	162	3	−	−	PROPN
fumecheng-12394	162	4			PROPN
fumecheng-12394	162	5			ADJ
fumecheng-12394	162	6			PROPN
fumecheng-12394	162	7			ADJ
fumecheng-12394	162	8			PROPN
fumecheng-12394	162	9	+	+	NOUN
fumecheng-12394	162	10	−	−	PROPN
fumecheng-12394	162	11	−	−	NOUN
fumecheng-12394	162	12	−	−	NOUN
fumecheng-12394	162	13	=	=	SYM
fumecheng-12394	162	14			NOUN
fumecheng-12394	162	15			NOUN
fumecheng-12394	162	16			NOUN
fumecheng-12394	162	17			NOUN
fumecheng-12394	162	18			NOUN
fumecheng-12394	162	19			PROPN
fumecheng-12394	162	20			NOUN
fumecheng-12394	162	21			PROPN
fumecheng-12394	162	22			VERB
fumecheng-12394	162	23			PROPN
fumecheng-12394	162	24			PROPN
fumecheng-12394	162	25	−	−	PROPN
fumecheng-12394	162	26	+	+	CCONJ
fumecheng-12394	162	27	=	=	PUNCT
fumecheng-12394	162	28			NOUN
fumecheng-12394	162	29			PROPN
fumecheng-12394	162	30			NOUN
fumecheng-12394	162	31			NOUN
fumecheng-12394	162	32			NOUN
fumecheng-12394	162	33			PROPN
fumecheng-12394	162	34			PROPN
fumecheng-12394	162	35			NOUN
fumecheng-12394	162	36			X
fumecheng-12394	162	37			PROPN
fumecheng-12394	162	38			PROPN
fumecheng-12394	162	39			PROPN
fumecheng-12394	162	40			NOUN
fumecheng-12394	162	41			X
fumecheng-12394	162	42			PROPN
fumecheng-12394	162	43			PROPN
fumecheng-12394	162	44			PROPN
fumecheng-12394	162	45	(	(	PUNCT
fumecheng-12394	162	46	13	13	NUM
fumecheng-12394	162	47	)	)	SYM
fumecheng-12394	162	48	2	2	NUM
fumecheng-12394	162	49	2	2	NUM
fumecheng-12394	162	50	2	2	NUM
fumecheng-12394	162	51	2	2	NUM
fumecheng-12394	162	52	2	2	NUM
fumecheng-12394	162	53	1	1	NUM
fumecheng-12394	162	54	(	(	PUNCT
fumecheng-12394	162	55	2)2	2)2	NUM
fumecheng-12394	162	56	2	2	NUM
fumecheng-12394	162	57	2	2	NUM
fumecheng-12394	162	58	0	0	NUM
fumecheng-12394	162	59	2	2	NUM
fumecheng-12394	162	60	1	1	NUM
fumecheng-12394	162	61	2	2	NUM
fumecheng-12394	162	62	2	2	NUM
fumecheng-12394	162	63	2	2	NUM
fumecheng-12394	162	64	0	0	NUM
fumecheng-12394	162	65	2	2	NUM
fumecheng-12394	162	66	1	1	NUM
fumecheng-12394	162	67	2	2	NUM
fumecheng-12394	162	68	2	2	NUM
fumecheng-12394	162	69	2	2	NUM
fumecheng-12394	162	70	2	2	NUM
fumecheng-12394	162	71	1	1	NUM
fumecheng-12394	162	72	(	(	PUNCT
fumecheng-12394	162	73	2	2	NUM
fumecheng-12394	162	74	)	)	SYM
fumecheng-12394	162	75	2	2	NUM
fumecheng-12394	162	76	1	1	NUM
fumecheng-12394	162	77	2	2	NUM
fumecheng-12394	162	78	2	2	NUM
fumecheng-12394	162	79	2	2	NUM
fumecheng-12394	162	80	2	2	NUM
fumecheng-12394	162	81	1	1	NUM
fumecheng-12394	162	82	2	2	NUM
fumecheng-12394	162	83	2	2	NUM
fumecheng-12394	162	84	2	2	NUM
fumecheng-12394	162	85	2	2	NUM
fumecheng-12394	162	86	(	(	PUNCT
fumecheng-12394	162	87	)	)	PUNCT
fumecheng-12394	162	88	(	(	PUNCT
fumecheng-12394	162	89	)	)	PUNCT
fumecheng-12394	162	90	(	(	PUNCT
fumecheng-12394	162	91	)	)	PUNCT
fumecheng-12394	162	92	2	2	NUM
fumecheng-12394	162	93	(	(	PUNCT
fumecheng-12394	162	94	)	)	PUNCT
fumecheng-12394	162	95	(	(	PUNCT
fumecheng-12394	162	96	)	)	PUNCT
fumecheng-12394	162	97	(	(	PUNCT
fumecheng-12394	162	98	,	,	PUNCT
fumecheng-12394	162	99	)	)	PUNCT
fumecheng-12394	162	100	,	,	PUNCT
fumecheng-12394	162	101	2	2	NUM
fumecheng-12394	162	102	(	(	PUNCT
fumecheng-12394	162	103	)	)	PUNCT
fumecheng-12394	162	104	(	(	PUNCT
fumecheng-12394	162	105	)	)	PUNCT
fumecheng-12394	162	106	(	(	PUNCT
fumecheng-12394	162	107	)	)	PUNCT
fumecheng-12394	162	108	(	(	PUNCT
fumecheng-12394	162	109	,	,	PUNCT
fumecheng-12394	162	110	)	)	PUNCT
fumecheng-12394	162	111	,	,	PUNCT
fumecheng-12394	162	112	r	r	NOUN
fumecheng-12394	162	113	rz	rz	NOUN
fumecheng-12394	163	1	k	k	PROPN
fumecheng-12394	163	2	k	k	PROPN
fumecheng-12394	164	1	k	k	PROPN
fumecheng-12394	164	2	b	b	PROPN
fumecheng-12394	165	1	k	k	PROPN
fumecheng-12394	165	2	b	b	PROPN
fumecheng-12394	165	3	a	a	X
fumecheng-12394	166	1	k	k	PROPN
fumecheng-12394	166	2	k	k	PROPN
fumecheng-12394	166	3	b	b	PROPN
fumecheng-12394	167	1	k	k	PROPN
fumecheng-12394	167	2	b	b	PROPN
fumecheng-12394	168	1	d	d	NOUN
fumecheng-12394	168	2	r	r	NOUN
fumecheng-12394	169	1	f	f	PROPN
fumecheng-12394	169	2	k	k	PROPN
fumecheng-12394	170	1	p	p	PROPN
fumecheng-12394	170	2	b	b	PROPN
fumecheng-12394	170	3	b	b	X
fumecheng-12394	170	4	k	k	PROPN
fumecheng-12394	170	5	k	k	PROPN
fumecheng-12394	170	6	b	b	PROPN
fumecheng-12394	170	7	a	a	PRON
fumecheng-12394	171	1	k	k	PROPN
fumecheng-12394	171	2	k	k	PROPN
fumecheng-12394	171	3	b	b	PROPN
fumecheng-12394	172	1	d	d	NOUN
fumecheng-12394	172	2	r	r	NOUN
fumecheng-12394	173	1	f	f	PROPN
fumecheng-12394	173	2	k	k	PROPN
fumecheng-12394	174	1	p	p	NOUN
fumecheng-12394	174	2	−	−	PROPN
fumecheng-12394	174	3	−	−	PROPN
fumecheng-12394	174	4			PROPN
fumecheng-12394	174	5			ADJ
fumecheng-12394	174	6			PROPN
fumecheng-12394	174	7			ADJ
fumecheng-12394	174	8			PROPN
fumecheng-12394	174	9	+	+	NOUN
fumecheng-12394	174	10	+	+	CCONJ
fumecheng-12394	174	11	−	−	PROPN
fumecheng-12394	175	1	+	+	CCONJ
fumecheng-12394	175	2	=	=	ADJ
fumecheng-12394	175	3			NOUN
fumecheng-12394	175	4			NOUN
fumecheng-12394	175	5			NOUN
fumecheng-12394	175	6			NOUN
fumecheng-12394	175	7			NOUN
fumecheng-12394	175	8			PROPN
fumecheng-12394	175	9			NOUN
fumecheng-12394	175	10			PROPN
fumecheng-12394	175	11			VERB
fumecheng-12394	175	12			PROPN
fumecheng-12394	175	13			PROPN
fumecheng-12394	175	14	−	−	PROPN
fumecheng-12394	175	15	+	+	X
fumecheng-12394	175	16	=	=	SYM
fumecheng-12394	175	17	−	−	NOUN
fumecheng-12394	175	18			NOUN
fumecheng-12394	175	19			PROPN
fumecheng-12394	175	20			NOUN
fumecheng-12394	175	21			NOUN
fumecheng-12394	175	22			NOUN
fumecheng-12394	175	23			PROPN
fumecheng-12394	175	24			PROPN
fumecheng-12394	175	25			NOUN
fumecheng-12394	175	26			X
fumecheng-12394	175	27			PROPN
fumecheng-12394	175	28			PROPN
fumecheng-12394	175	29			PROPN
fumecheng-12394	175	30			NOUN
fumecheng-12394	175	31			X
fumecheng-12394	175	32			PROPN
fumecheng-12394	175	33			PROPN
fumecheng-12394	175	34			PROPN
fumecheng-12394	175	35	(	(	PUNCT
fumecheng-12394	175	36	14	14	NUM
fumecheng-12394	175	37	)	)	PUNCT
fumecheng-12394	175	38	let	let	VERB
fumecheng-12394	175	39	us	we	PRON
fumecheng-12394	175	40	express	express	VERB
fumecheng-12394	175	41	the	the	DET
fumecheng-12394	175	42	contact	contact	NOUN
fumecheng-12394	175	43	conditions	condition	NOUN
fumecheng-12394	175	44	also	also	ADV
fumecheng-12394	175	45	through	through	ADP
fumecheng-12394	175	46	general	general	ADJ
fumecheng-12394	175	47	solutions	solution	NOUN
fumecheng-12394	175	48	.	.	PUNCT
fumecheng-12394	176	1	in	in	ADP
fumecheng-12394	176	2	this	this	DET
fumecheng-12394	176	3	case	case	NOUN
fumecheng-12394	176	4	,	,	PUNCT
fumecheng-12394	176	5	the	the	DET
fumecheng-12394	176	6	number	number	NOUN
fumecheng-12394	176	7	of	of	ADP
fumecheng-12394	176	8	unknown	unknown	ADJ
fumecheng-12394	176	9	constants	constant	NOUN
fumecheng-12394	176	10	will	will	AUX
fumecheng-12394	176	11	be	be	AUX
fumecheng-12394	176	12	only	only	ADV
fumecheng-12394	176	13	8	8	NUM
fumecheng-12394	176	14	.	.	PUNCT
fumecheng-12394	177	1	therefore	therefore	ADV
fumecheng-12394	177	2	,	,	PUNCT
fumecheng-12394	177	3	due	due	ADP
fumecheng-12394	177	4	to	to	ADP
fumecheng-12394	177	5	the	the	DET
fumecheng-12394	177	6	fact	fact	NOUN
fumecheng-12394	177	7	that	that	SCONJ
fumecheng-12394	177	8	we	we	PRON
fumecheng-12394	177	9	use	use	VERB
fumecheng-12394	177	10	four	four	NUM
fumecheng-12394	177	11	boundary	boundary	ADJ
fumecheng-12394	177	12	conditions	condition	NOUN
fumecheng-12394	177	13	,	,	PUNCT
fumecheng-12394	177	14	eq	eq	NOUN
fumecheng-12394	177	15	.	.	PUNCT
fumecheng-12394	178	1	(	(	PUNCT
fumecheng-12394	178	2	2	2	NUM
fumecheng-12394	178	3	)	)	PUNCT
fumecheng-12394	178	4	,	,	PUNCT
fumecheng-12394	178	5	it	it	PRON
fumecheng-12394	178	6	is	be	AUX
fumecheng-12394	178	7	sufficient	sufficient	ADJ
fumecheng-12394	178	8	to	to	PART
fumecheng-12394	178	9	take	take	VERB
fumecheng-12394	178	10	four	four	NUM
fumecheng-12394	178	11	of	of	ADP
fumecheng-12394	178	12	the	the	DET
fumecheng-12394	178	13	eight	eight	NUM
fumecheng-12394	178	14	contact	contact	NOUN
fumecheng-12394	178	15	conditions	condition	NOUN
fumecheng-12394	178	16	given	give	VERB
fumecheng-12394	178	17	by	by	ADP
fumecheng-12394	178	18	eq	eq	PROPN
fumecheng-12394	178	19	.	.	PUNCT
fumecheng-12394	179	1	(	(	PUNCT
fumecheng-12394	179	2	3	3	NUM
fumecheng-12394	179	3	)	)	PUNCT
fumecheng-12394	179	4	.	.	PUNCT
fumecheng-12394	180	1	in	in	ADP
fumecheng-12394	180	2	addition	addition	NOUN
fumecheng-12394	180	3	,	,	PUNCT
fumecheng-12394	180	4	the	the	DET
fumecheng-12394	180	5	boundary	boundary	ADJ
fumecheng-12394	180	6	conditions	condition	NOUN
fumecheng-12394	180	7	,	,	PUNCT
fumecheng-12394	180	8	eq	eq	NOUN
fumecheng-12394	180	9	.	.	PUNCT
fumecheng-12394	181	1	(	(	PUNCT
fumecheng-12394	181	2	2	2	NUM
fumecheng-12394	181	3	)	)	PUNCT
fumecheng-12394	181	4	,	,	PUNCT
fumecheng-12394	181	5	are	be	AUX
fumecheng-12394	181	6	dynamic	dynamic	ADJ
fumecheng-12394	181	7	,	,	PUNCT
fumecheng-12394	181	8	therefore	therefore	ADV
fumecheng-12394	181	9	,	,	PUNCT
fumecheng-12394	181	10	for	for	ADP
fumecheng-12394	181	11	contact	contact	NOUN
fumecheng-12394	181	12	conditions	condition	NOUN
fumecheng-12394	181	13	we	we	PRON
fumecheng-12394	181	14	will	will	AUX
fumecheng-12394	181	15	use	use	VERB
fumecheng-12394	181	16	only	only	ADV
fumecheng-12394	181	17	the	the	DET
fumecheng-12394	181	18	kinematic	kinematic	ADJ
fumecheng-12394	181	19	part	part	NOUN
fumecheng-12394	181	20	of	of	ADP
fumecheng-12394	181	21	the	the	DET
fumecheng-12394	181	22	conditions	condition	NOUN
fumecheng-12394	181	23	given	give	VERB
fumecheng-12394	181	24	by	by	ADP
fumecheng-12394	181	25	eq	eq	PROPN
fumecheng-12394	181	26	.	.	PUNCT
fumecheng-12394	182	1	(	(	PUNCT
fumecheng-12394	182	2	3	3	NUM
fumecheng-12394	182	3	)	)	PUNCT
fumecheng-12394	182	4	.	.	PUNCT
fumecheng-12394	183	1	let	let	VERB
fumecheng-12394	183	2	us	we	PRON
fumecheng-12394	183	3	also	also	ADV
fumecheng-12394	183	4	assume	assume	VERB
fumecheng-12394	183	5	the	the	DET
fumecheng-12394	183	6	displacements	displacement	NOUN
fumecheng-12394	183	7	in	in	ADP
fumecheng-12394	183	8	form	form	NOUN
fumecheng-12394	183	9	of	of	ADP
fumecheng-12394	183	10	eq	eq	NOUN
fumecheng-12394	183	11	.	.	PUNCT
fumecheng-12394	184	1	(	(	PUNCT
fumecheng-12394	184	2	5	5	NUM
fumecheng-12394	184	3	)	)	PUNCT
fumecheng-12394	184	4	and	and	CCONJ
fumecheng-12394	184	5	apply	apply	VERB
fumecheng-12394	184	6	together	together	ADV
fumecheng-12394	184	7	with	with	ADP
fumecheng-12394	184	8	eq	eq	NOUN
fumecheng-12394	184	9	.	.	PUNCT
fumecheng-12394	185	1	(	(	PUNCT
fumecheng-12394	185	2	12	12	NUM
fumecheng-12394	185	3	)	)	PUNCT
fumecheng-12394	185	4	478	478	NUM
fumecheng-12394	185	5	kh	kh	NOUN
fumecheng-12394	185	6	.	.	PUNCT
fumecheng-12394	185	7	khudoynazarov	khudoynazarov	PROPN
fumecheng-12394	185	8	to	to	ADP
fumecheng-12394	185	9	the	the	DET
fumecheng-12394	185	10	contact	contact	NOUN
fumecheng-12394	185	11	conditions	condition	NOUN
fumecheng-12394	185	12	,	,	PUNCT
fumecheng-12394	185	13	eq	eq	NOUN
fumecheng-12394	185	14	.	.	PUNCT
fumecheng-12394	186	1	(	(	PUNCT
fumecheng-12394	186	2	3	3	NUM
fumecheng-12394	186	3	)	)	PUNCT
fumecheng-12394	186	4	,	,	PUNCT
fumecheng-12394	186	5	in	in	ADP
fumecheng-12394	186	6	the	the	DET
fumecheng-12394	186	7	displacements	displacement	NOUN
fumecheng-12394	186	8	.	.	PUNCT
fumecheng-12394	187	1	expressing	express	VERB
fumecheng-12394	187	2	the	the	DET
fumecheng-12394	187	3	obtained	obtain	VERB
fumecheng-12394	187	4	contact	contact	NOUN
fumecheng-12394	187	5	conditions	condition	NOUN
fumecheng-12394	187	6	through	through	ADP
fumecheng-12394	187	7	general	general	ADJ
fumecheng-12394	187	8	solutions	solution	NOUN
fumecheng-12394	187	9	,	,	PUNCT
fumecheng-12394	187	10	eqs	eqs	X
fumecheng-12394	187	11	.	.	PUNCT
fumecheng-12394	188	1	(	(	PUNCT
fumecheng-12394	188	2	9	9	NUM
fumecheng-12394	188	3	-	-	SYM
fumecheng-12394	188	4	11	11	NUM
fumecheng-12394	188	5	)	)	PUNCT
fumecheng-12394	188	6	,	,	PUNCT
fumecheng-12394	188	7	we	we	PRON
fumecheng-12394	188	8	find	find	VERB
fumecheng-12394	188	9	the	the	DET
fumecheng-12394	188	10	constants	constant	NOUN
fumecheng-12394	188	11	ai	ai	VERB
fumecheng-12394	188	12	,	,	PUNCT
fumecheng-12394	188	13	di	di	INTJ
fumecheng-12394	188	14	(	(	PUNCT
fumecheng-12394	188	15	i=1,2	i=1,2	ADJ
fumecheng-12394	188	16	)	)	PUNCT
fumecheng-12394	188	17	.	.	PUNCT
fumecheng-12394	189	1	substituting	substitute	VERB
fumecheng-12394	189	2	the	the	DET
fumecheng-12394	189	3	found	find	VERB
fumecheng-12394	189	4	expressions	expression	NOUN
fumecheng-12394	189	5	of	of	ADP
fumecheng-12394	189	6	the	the	DET
fumecheng-12394	189	7	integration	integration	NOUN
fumecheng-12394	189	8	constants	constant	NOUN
fumecheng-12394	189	9	into	into	ADP
fumecheng-12394	189	10	eqs	eqs	PROPN
fumecheng-12394	189	11	.	.	PUNCT
fumecheng-12394	190	1	(	(	PUNCT
fumecheng-12394	190	2	13	13	NUM
fumecheng-12394	190	3	)	)	PUNCT
fumecheng-12394	190	4	and	and	CCONJ
fumecheng-12394	190	5	(	(	PUNCT
fumecheng-12394	190	6	14	14	NUM
fumecheng-12394	190	7	)	)	PUNCT
fumecheng-12394	190	8	gives	give	VERB
fumecheng-12394	190	9	the	the	DET
fumecheng-12394	190	10	following	follow	VERB
fumecheng-12394	190	11	system	system	NOUN
fumecheng-12394	190	12	of	of	ADP
fumecheng-12394	190	13	four	four	NUM
fumecheng-12394	190	14	equations	equation	NOUN
fumecheng-12394	190	15	:	:	PUNCT
fumecheng-12394	190	16	2	2	NUM
fumecheng-12394	190	17	1	1	NUM
fumecheng-12394	190	18	2	2	NUM
fumecheng-12394	190	19	2	2	NUM
fumecheng-12394	190	20	(	(	PUNCT
fumecheng-12394	190	21	)	)	PUNCT
fumecheng-12394	190	22	1	1	NUM
fumecheng-12394	190	23	0	0	NUM
fumecheng-12394	190	24	2	2	NUM
fumecheng-12394	190	25	0	0	NUM
fumecheng-12394	190	26	2	2	NUM
fumecheng-12394	190	27	2	2	NUM
fumecheng-12394	190	28	2	2	NUM
fumecheng-12394	190	29	1	1	NUM
fumecheng-12394	190	30	2	2	NUM
fumecheng-12394	190	31	2	2	NUM
fumecheng-12394	190	32	(	(	PUNCT
fumecheng-12394	190	33	)	)	PUNCT
fumecheng-12394	190	34	3	3	NUM
fumecheng-12394	190	35	0	0	NUM
fumecheng-12394	190	36	4	4	NUM
fumecheng-12394	190	37	0	0	NUM
fumecheng-12394	190	38	1	1	NUM
fumecheng-12394	190	39	3	3	NUM
fumecheng-12394	190	40	3	3	NUM
fumecheng-12394	190	41	2	2	NUM
fumecheng-12394	190	42	(	(	PUNCT
fumecheng-12394	190	43	,	,	PUNCT
fumecheng-12394	190	44	)	)	PUNCT
fumecheng-12394	190	45	(	(	PUNCT
fumecheng-12394	190	46	)	)	PUNCT
fumecheng-12394	190	47	(	(	PUNCT
fumecheng-12394	190	48	,	,	PUNCT
fumecheng-12394	190	49	)	)	PUNCT
fumecheng-12394	190	50	(	(	PUNCT
fumecheng-12394	190	51	)	)	PUNCT
fumecheng-12394	190	52	(	(	PUNCT
fumecheng-12394	190	53	)	)	PUNCT
fumecheng-12394	190	54	(	(	PUNCT
fumecheng-12394	190	55	,	,	PUNCT
fumecheng-12394	190	56	)	)	PUNCT
fumecheng-12394	190	57	,	,	PUNCT
fumecheng-12394	190	58	(	(	PUNCT
fumecheng-12394	190	59	)	)	PUNCT
fumecheng-12394	190	60	42	42	NUM
fumecheng-12394	190	61	(	(	PUNCT
fumecheng-12394	190	62	,	,	PUNCT
fumecheng-12394	190	63	)	)	PUNCT
fumecheng-12394	190	64	(	(	PUNCT
fumecheng-12394	190	65	)	)	PUNCT
fumecheng-12394	190	66	(	(	PUNCT
fumecheng-12394	190	67	,	,	PUNCT
fumecheng-12394	190	68	)	)	PUNCT
fumecheng-12394	190	69	(	(	PUNCT
fumecheng-12394	190	70	)	)	PUNCT
fumecheng-12394	190	71	(	(	PUNCT
fumecheng-12394	190	72	)	)	PUNCT
fumecheng-12394	190	73	(	(	PUNCT
fumecheng-12394	190	74	,	,	PUNCT
fumecheng-12394	190	75	)	)	PUNCT
fumecheng-12394	190	76	,	,	PUNCT
fumecheng-12394	190	77	(	(	PUNCT
fumecheng-12394	190	78	)	)	PUNCT
fumecheng-12394	191	1	i	i	PRON
fumecheng-12394	191	2	i	i	PRON
fumecheng-12394	192	1	ii	ii	VERB
fumecheng-12394	193	1	i	i	PRON
fumecheng-12394	193	2	i	i	PRON
fumecheng-12394	194	1	i	i	PRON
fumecheng-12394	194	2	i	i	PRON
fumecheng-12394	195	1	i	i	PRON
fumecheng-12394	195	2	i	i	PRON
fumecheng-12394	196	1	i	i	PRON
fumecheng-12394	197	1	i	i	INTJ
fumecheng-12394	198	1	i	i	VERB
fumecheng-12394	199	1	r	r	VERB
fumecheng-12394	200	1	i	i	PRON
fumecheng-12394	200	2	ii	ii	VERB
fumecheng-12394	201	1	i	i	PRON
fumecheng-12394	201	2	i	i	PRON
fumecheng-12394	202	1	i	i	PRON
fumecheng-12394	202	2	i	i	PRON
fumecheng-12394	203	1	i	i	PRON
fumecheng-12394	203	2	i	i	PRON
fumecheng-12394	204	1	i	i	PRON
fumecheng-12394	205	1	i	i	PRON
fumecheng-12394	205	2	rz	rz	VERB
fumecheng-12394	206	1	i	i	PRON
fumecheng-12394	206	2	r	r	VERB
fumecheng-12394	206	3	g	g	NOUN
fumecheng-12394	206	4	u	u	NOUN
fumecheng-12394	206	5	r	r	NOUN
fumecheng-12394	206	6	g	g	NOUN
fumecheng-12394	206	7	w	w	NOUN
fumecheng-12394	206	8	r	r	NOUN
fumecheng-12394	206	9	r	r	NOUN
fumecheng-12394	207	1	k	k	NOUN
fumecheng-12394	207	2	f	f	X
fumecheng-12394	208	1	k	k	PROPN
fumecheng-12394	208	2	p	p	X
fumecheng-12394	208	3	r	r	NOUN
fumecheng-12394	208	4	a	a	DET
fumecheng-12394	208	5	b	b	NOUN
fumecheng-12394	208	6	r	r	NOUN
fumecheng-12394	208	7	g	g	NOUN
fumecheng-12394	208	8	u	u	NOUN
fumecheng-12394	208	9	r	r	NOUN
fumecheng-12394	208	10	g	g	NOUN
fumecheng-12394	208	11	w	w	NOUN
fumecheng-12394	208	12	r	r	NOUN
fumecheng-12394	208	13	r	r	NOUN
fumecheng-12394	209	1	k	k	NOUN
fumecheng-12394	209	2	f	f	X
fumecheng-12394	210	1	k	k	PROPN
fumecheng-12394	210	2	p	p	X
fumecheng-12394	210	3	r	r	NOUN
fumecheng-12394	210	4	a	a	DET
fumecheng-12394	210	5	b	b	NOUN
fumecheng-12394	210	6	−	−	ADP
fumecheng-12394	210	7	−	−	PROPN
fumecheng-12394	211	1			PROPN
fumecheng-12394	211	2	+	+	NOUN
fumecheng-12394	211	3	=	=	PUNCT
fumecheng-12394	212	1	+	+	NOUN
fumecheng-12394	212	2			PROPN
fumecheng-12394	212	3			PROPN
fumecheng-12394	212	4			PROPN
fumecheng-12394	212	5	+	+	NOUN
fumecheng-12394	212	6	=	=	PUNCT
fumecheng-12394	213	1	+	+	ADJ
fumecheng-12394	213	2			NOUN
fumecheng-12394	213	3			PROPN
fumecheng-12394	213	4			NOUN
fumecheng-12394	213	5			NOUN
fumecheng-12394	213	6			X
fumecheng-12394	213	7			PROPN
fumecheng-12394	213	8			NOUN
fumecheng-12394	213	9			NOUN
fumecheng-12394	213	10			NOUN
fumecheng-12394	213	11			X
fumecheng-12394	213	12			PROPN
fumecheng-12394	213	13			NOUN
fumecheng-12394	213	14			PROPN
fumecheng-12394	213	15			NOUN
fumecheng-12394	213	16	(	(	PUNCT
fumecheng-12394	213	17	15	15	NUM
fumecheng-12394	213	18	)	)	PUNCT
fumecheng-12394	213	19	where	where	SCONJ
fumecheng-12394	213	20	2	2	NUM
fumecheng-12394	213	21	2	2	NUM
fumecheng-12394	213	22	2	2	NUM
fumecheng-12394	213	23	2	2	NUM
fumecheng-12394	213	24	2	2	NUM
fumecheng-12394	213	25	2	2	NUM
fumecheng-12394	213	26	1	1	NUM
fumecheng-12394	213	27	2	2	NUM
fumecheng-12394	213	28	2	2	NUM
fumecheng-12394	213	29	2	2	NUM
fumecheng-12394	213	30	2	2	NUM
fumecheng-12394	213	31	2	2	NUM
fumecheng-12394	213	32	2	2	NUM
fumecheng-12394	213	33	2	2	NUM
fumecheng-12394	213	34	3	3	NUM
fumecheng-12394	213	35	4	4	NUM
fumecheng-12394	213	36	1	1	NUM
fumecheng-12394	213	37	1	1	NUM
fumecheng-12394	213	38	1	1	NUM
fumecheng-12394	213	39	1	1	NUM
fumecheng-12394	213	40	(	(	PUNCT
fumecheng-12394	213	41	,	,	PUNCT
fumecheng-12394	213	42	)	)	PUNCT
fumecheng-12394	213	43	,	,	PUNCT
fumecheng-12394	213	44	(	(	PUNCT
fumecheng-12394	213	45	,	,	PUNCT
fumecheng-12394	213	46	)	)	PUNCT
fumecheng-12394	213	47	(	(	PUNCT
fumecheng-12394	213	48	2	2	X
fumecheng-12394	213	49	)	)	PUNCT
fumecheng-12394	213	50	4	4	NUM
fumecheng-12394	213	51	4	4	NUM
fumecheng-12394	213	52	(	(	PUNCT
fumecheng-12394	213	53	,	,	PUNCT
fumecheng-12394	213	54	)	)	PUNCT
fumecheng-12394	213	55	(	(	PUNCT
fumecheng-12394	213	56	3	3	NUM
fumecheng-12394	213	57	)	)	PUNCT
fumecheng-12394	213	58	,	,	PUNCT
fumecheng-12394	213	59	(	(	PUNCT
fumecheng-12394	213	60	,	,	PUNCT
fumecheng-12394	213	61	)	)	PUNCT
fumecheng-12394	213	62	(	(	PUNCT
fumecheng-12394	213	63	2	2	X
fumecheng-12394	213	64	)	)	PUNCT
fumecheng-12394	214	1	i	i	PRON
fumecheng-12394	214	2	i	i	PRON
fumecheng-12394	215	1	i	i	PRON
fumecheng-12394	215	2	i	i	PRON
fumecheng-12394	216	1	i	i	PRON
fumecheng-12394	216	2	i	i	PRON
fumecheng-12394	217	1	i	i	PRON
fumecheng-12394	217	2	i	i	PRON
fumecheng-12394	218	1	i	i	PRON
fumecheng-12394	218	2	i	i	PRON
fumecheng-12394	219	1	i	i	PRON
fumecheng-12394	219	2	i	i	PRON
fumecheng-12394	220	1	i	i	PRON
fumecheng-12394	220	2	i	i	PRON
fumecheng-12394	221	1	i	i	PRON
fumecheng-12394	221	2	i	i	PRON
fumecheng-12394	222	1	i	i	INTJ
fumecheng-12394	222	2	i	i	PRON
fumecheng-12394	223	1	g	g	VERB
fumecheng-12394	223	2	k	k	PROPN
fumecheng-12394	224	1	k	k	PROPN
fumecheng-12394	224	2	g	g	PROPN
fumecheng-12394	225	1	k	k	PROPN
fumecheng-12394	225	2	g	g	PROPN
fumecheng-12394	226	1	k	k	PROPN
fumecheng-12394	226	2	g	g	PROPN
fumecheng-12394	226	3	k	k	PROPN
fumecheng-12394	226	4	k	k	PROPN
fumecheng-12394	226	5			ADP
fumecheng-12394	227	1			NOUN
fumecheng-12394	227	2			NOUN
fumecheng-12394	227	3			INTJ
fumecheng-12394	228	1			NOUN
fumecheng-12394	228	2	=	=	PUNCT
fumecheng-12394	229	1	+	+	PUNCT
fumecheng-12394	229	2	+	+	X
fumecheng-12394	229	3	=	=	SYM
fumecheng-12394	229	4			PROPN
fumecheng-12394	229	5	−	−	INTJ
fumecheng-12394	229	6			PROPN
fumecheng-12394	229	7			PROPN
fumecheng-12394	229	8			NOUN
fumecheng-12394	229	9			ADJ
fumecheng-12394	229	10			ADJ
fumecheng-12394	229	11			NOUN
fumecheng-12394	229	12			VERB
fumecheng-12394	229	13			PROPN
fumecheng-12394	229	14			NUM
fumecheng-12394	229	15	=	=	SYM
fumecheng-12394	230	1	+	+	NUM
fumecheng-12394	230	2	=	=	SYM
fumecheng-12394	230	3	−	−	PROPN
fumecheng-12394	230	4	−	−	X
fumecheng-12394	230	5			NUM
fumecheng-12394	230	6			PROPN
fumecheng-12394	230	7			PROPN
fumecheng-12394	230	8			NOUN
fumecheng-12394	230	9			NUM
fumecheng-12394	230	10			PROPN
fumecheng-12394	230	11			PROPN
fumecheng-12394	230	12			NOUN
fumecheng-12394	230	13			X
fumecheng-12394	230	14			PROPN
fumecheng-12394	230	15			NOUN
fumecheng-12394	230	16			PROPN
fumecheng-12394	230	17			NOUN
fumecheng-12394	230	18			PROPN
fumecheng-12394	230	19			NOUN
fumecheng-12394	230	20			NOUN
fumecheng-12394	230	21	2	2	NUM
fumecheng-12394	230	22	2	2	NUM
fumecheng-12394	230	23	2	2	NUM
fumecheng-12394	230	24	2	2	NUM
fumecheng-12394	230	25	,	,	PUNCT
fumecheng-12394	230	26	1	1	NUM
fumecheng-12394	230	27	,	,	PUNCT
fumecheng-12394	230	28	(	(	PUNCT
fumecheng-12394	230	29	)	)	PUNCT
fumecheng-12394	230	30	,	,	PUNCT
fumecheng-12394	230	31	2	2	X
fumecheng-12394	230	32	.	.	X
fumecheng-12394	231	1	a	a	DET
fumecheng-12394	231	2	if	if	SCONJ
fumecheng-12394	231	3	i	i	PRON
fumecheng-12394	231	4	a	a	DET
fumecheng-12394	231	5	b	b	PROPN
fumecheng-12394	231	6	b	b	NOUN
fumecheng-12394	231	7	if	if	SCONJ
fumecheng-12394	231	8	i	i	PRON
fumecheng-12394	231	9			VERB
fumecheng-12394	231	10	=	=	NOUN
fumecheng-12394	231	11			NOUN
fumecheng-12394	231	12	=	=	SYM
fumecheng-12394	231	13			NUM
fumecheng-12394	231	14	=	=	NOUN
fumecheng-12394	231	15			NOUN
fumecheng-12394	231	16	let	let	VERB
fumecheng-12394	231	17	us	we	PRON
fumecheng-12394	231	18	highlight	highlight	VERB
fumecheng-12394	231	19	the	the	DET
fumecheng-12394	231	20	main	main	ADJ
fumecheng-12394	231	21	parts	part	NOUN
fumecheng-12394	231	22	of	of	ADP
fumecheng-12394	231	23	the	the	DET
fumecheng-12394	231	24	longitudinal	longitudinal	ADJ
fumecheng-12394	231	25	radial	radial	ADJ
fumecheng-12394	231	26	displacement	displacement	NOUN
fumecheng-12394	231	27	of	of	ADP
fumecheng-12394	231	28	the	the	DET
fumecheng-12394	231	29	middle	middle	ADJ
fumecheng-12394	231	30	layer	layer	NOUN
fumecheng-12394	231	31	of	of	ADP
fumecheng-12394	231	32	the	the	DET
fumecheng-12394	231	33	shell	shell	NOUN
fumecheng-12394	231	34	.	.	PUNCT
fumecheng-12394	232	1	for	for	ADP
fumecheng-12394	232	2	this	this	PRON
fumecheng-12394	232	3	,	,	PUNCT
fumecheng-12394	232	4	the	the	DET
fumecheng-12394	232	5	displacements	displacement	NOUN
fumecheng-12394	232	6	of	of	ADP
fumecheng-12394	232	7	the	the	DET
fumecheng-12394	232	8	points	point	NOUN
fumecheng-12394	232	9	of	of	ADP
fumecheng-12394	232	10	the	the	DET
fumecheng-12394	232	11	median	median	ADJ
fumecheng-12394	232	12	layer	layer	NOUN
fumecheng-12394	232	13	ũ0(r	ũ0(r	PROPN
fumecheng-12394	232	14	,	,	PUNCT
fumecheng-12394	232	15	k	k	PROPN
fumecheng-12394	232	16	,	,	PUNCT
fumecheng-12394	232	17	p	p	NOUN
fumecheng-12394	232	18	)	)	PUNCT
fumecheng-12394	232	19	and	and	CCONJ
fumecheng-12394	232	20	0w	0w	NUM
fumecheng-12394	232	21	(	(	PUNCT
fumecheng-12394	232	22	r	r	NOUN
fumecheng-12394	232	23	,	,	PUNCT
fumecheng-12394	232	24	k	k	NOUN
fumecheng-12394	232	25	,	,	PUNCT
fumecheng-12394	232	26	p	p	NOUN
fumecheng-12394	232	27	)	)	PUNCT
fumecheng-12394	232	28	transformed	transform	VERB
fumecheng-12394	232	29	by	by	ADP
fumecheng-12394	232	30	eq	eq	PROPN
fumecheng-12394	232	31	.	.	PUNCT
fumecheng-12394	233	1	(	(	PUNCT
fumecheng-12394	233	2	5	5	X
fumecheng-12394	233	3	)	)	PUNCT
fumecheng-12394	233	4	are	be	AUX
fumecheng-12394	233	5	expressed	express	VERB
fumecheng-12394	233	6	in	in	ADP
fumecheng-12394	233	7	terms	term	NOUN
fumecheng-12394	233	8	of	of	ADP
fumecheng-12394	233	9	general	general	ADJ
fumecheng-12394	233	10	solutions	solution	NOUN
fumecheng-12394	233	11	,	,	PUNCT
fumecheng-12394	233	12	eq	eq	NOUN
fumecheng-12394	233	13	.	.	PUNCT
fumecheng-12394	234	1	(	(	PUNCT
fumecheng-12394	234	2	11	11	NUM
fumecheng-12394	234	3	)	)	PUNCT
fumecheng-12394	234	4	.	.	PUNCT
fumecheng-12394	235	1	we	we	PRON
fumecheng-12394	235	2	will	will	AUX
fumecheng-12394	235	3	have	have	VERB
fumecheng-12394	235	4			ADJ
fumecheng-12394	235	5			PUNCT
fumecheng-12394	235	6			ADJ
fumecheng-12394	235	7			PUNCT
fumecheng-12394	235	8			ADJ
fumecheng-12394	235	9			PUNCT
fumecheng-12394	235	10			NOUN
fumecheng-12394	235	11			ADP
fumecheng-12394	235	12	2	2	NUM
fumecheng-12394	235	13	0	0	NUM
fumecheng-12394	235	14	1	1	NUM
fumecheng-12394	235	15	0	0	NUM
fumecheng-12394	235	16	0	0	NUM
fumecheng-12394	235	17	2	2	NUM
fumecheng-12394	235	18	0	0	NUM
fumecheng-12394	235	19	0	0	NUM
fumecheng-12394	235	20	0	0	NUM
fumecheng-12394	235	21	1	1	NUM
fumecheng-12394	235	22	0	0	NUM
fumecheng-12394	235	23	0	0	NUM
fumecheng-12394	235	24	2	2	NUM
fumecheng-12394	235	25	0	0	NUM
fumecheng-12394	235	26	0	0	NUM
fumecheng-12394	235	27	0	0	NUM
fumecheng-12394	235	28	0	0	NUM
fumecheng-12394	235	29	1	1	NUM
fumecheng-12394	235	30	1	1	NUM
fumecheng-12394	235	31	0	0	NUM
fumecheng-12394	235	32	2	2	NUM
fumecheng-12394	235	33	1	1	NUM
fumecheng-12394	235	34	0	0	NUM
fumecheng-12394	235	35	0	0	NUM
fumecheng-12394	235	36	1	1	NUM
fumecheng-12394	235	37	1	1	NUM
fumecheng-12394	235	38	0	0	NUM
fumecheng-12394	235	39	2	2	NUM
fumecheng-12394	235	40	1	1	NUM
fumecheng-12394	235	41	0	0	NUM
fumecheng-12394	235	42	(	(	PUNCT
fumecheng-12394	235	43	,	,	PUNCT
fumecheng-12394	235	44	,	,	PUNCT
fumecheng-12394	235	45	)	)	PUNCT
fumecheng-12394	235	46	(	(	PUNCT
fumecheng-12394	235	47	)	)	PUNCT
fumecheng-12394	235	48	(	(	PUNCT
fumecheng-12394	235	49	)	)	PUNCT
fumecheng-12394	235	50	(	(	PUNCT
fumecheng-12394	235	51	)	)	PUNCT
fumecheng-12394	235	52	(	(	PUNCT
fumecheng-12394	235	53	)	)	PUNCT
fumecheng-12394	235	54	,	,	PUNCT
fumecheng-12394	235	55	(	(	PUNCT
fumecheng-12394	235	56	,	,	PUNCT
fumecheng-12394	235	57	,	,	PUNCT
fumecheng-12394	235	58	)	)	PUNCT
fumecheng-12394	235	59	(	(	PUNCT
fumecheng-12394	235	60	)	)	PUNCT
fumecheng-12394	235	61	(	(	PUNCT
fumecheng-12394	235	62	)	)	PUNCT
fumecheng-12394	235	63	(	(	PUNCT
fumecheng-12394	235	64	)	)	PUNCT
fumecheng-12394	235	65	(	(	PUNCT
fumecheng-12394	235	66	)	)	PUNCT
fumecheng-12394	235	67	.	.	PUNCT
fumecheng-12394	236	1	u	u	NOUN
fumecheng-12394	237	1	r	r	NOUN
fumecheng-12394	237	2	k	k	PROPN
fumecheng-12394	237	3	p	p	X
fumecheng-12394	238	1	k	k	PROPN
fumecheng-12394	238	2	b	b	PROPN
fumecheng-12394	239	1	i	i	NOUN
fumecheng-12394	239	2	r	r	NOUN
fumecheng-12394	239	3	b	b	X
fumecheng-12394	239	4	k	k	NOUN
fumecheng-12394	239	5	r	r	NOUN
fumecheng-12394	240	1	c	c	NOUN
fumecheng-12394	241	1	i	i	PRON
fumecheng-12394	241	2	r	r	NOUN
fumecheng-12394	241	3	c	c	NOUN
fumecheng-12394	241	4	k	k	NOUN
fumecheng-12394	242	1	r	r	NOUN
fumecheng-12394	242	2	w	w	NOUN
fumecheng-12394	242	3	r	r	NOUN
fumecheng-12394	242	4	k	k	PROPN
fumecheng-12394	243	1	p	p	X
fumecheng-12394	243	2	b	b	NOUN
fumecheng-12394	244	1	i	i	NOUN
fumecheng-12394	244	2	r	r	NOUN
fumecheng-12394	244	3	b	b	X
fumecheng-12394	244	4	k	k	NOUN
fumecheng-12394	245	1	r	r	NOUN
fumecheng-12394	246	1	k	k	NOUN
fumecheng-12394	247	1	c	c	NOUN
fumecheng-12394	248	1	i	i	PRON
fumecheng-12394	248	2	r	r	NOUN
fumecheng-12394	248	3	c	c	NOUN
fumecheng-12394	248	4	k	k	NOUN
fumecheng-12394	248	5	r	r	NOUN
fumecheng-12394	248	6	=	=	PUNCT
fumecheng-12394	249	1	+	+	NUM
fumecheng-12394	249	2	−	−	PROPN
fumecheng-12394	250	1	+	+	CCONJ
fumecheng-12394	250	2	=	=	SYM
fumecheng-12394	250	3	−	−	NOUN
fumecheng-12394	250	4	−	−	NOUN
fumecheng-12394	250	5	−	−	NOUN
fumecheng-12394	250	6			NOUN
fumecheng-12394	250	7			NUM
fumecheng-12394	250	8			PROPN
fumecheng-12394	250	9			PROPN
fumecheng-12394	250	10			PROPN
fumecheng-12394	250	11			NOUN
fumecheng-12394	250	12			X
fumecheng-12394	250	13			NUM
fumecheng-12394	250	14			PROPN
fumecheng-12394	250	15			PROPN
fumecheng-12394	250	16			PROPN
fumecheng-12394	250	17	(	(	PUNCT
fumecheng-12394	250	18	16	16	NUM
fumecheng-12394	250	19	)	)	PUNCT
fumecheng-12394	250	20	we	we	PRON
fumecheng-12394	250	21	introduce	introduce	VERB
fumecheng-12394	250	22	the	the	DET
fumecheng-12394	250	23	radius	radius	NOUN
fumecheng-12394	250	24	of	of	ADP
fumecheng-12394	250	25	some	some	DET
fumecheng-12394	250	26	intermediate	intermediate	ADJ
fumecheng-12394	250	27	surface	surface	NOUN
fumecheng-12394	250	28	of	of	ADP
fumecheng-12394	250	29	the	the	DET
fumecheng-12394	250	30	middle	middle	ADJ
fumecheng-12394	250	31	layer	layer	NOUN
fumecheng-12394	250	32	of	of	ADP
fumecheng-12394	250	33	the	the	DET
fumecheng-12394	250	34	structure	structure	NOUN
fumecheng-12394	250	35	according	accord	VERB
fumecheng-12394	250	36	to	to	ADP
fumecheng-12394	250	37	the	the	DET
fumecheng-12394	250	38	following	follow	VERB
fumecheng-12394	250	39	formula	formula	NOUN
fumecheng-12394	250	40	[	[	X
fumecheng-12394	250	41	27	27	NUM
fumecheng-12394	250	42	]	]	SYM
fumecheng-12394	250	43	:	:	PUNCT
fumecheng-12394	250	44	1	1	NUM
fumecheng-12394	250	45	1	1	NUM
fumecheng-12394	250	46	22	22	NUM
fumecheng-12394	250	47	r	r	NOUN
fumecheng-12394	250	48	r	r	NOUN
fumecheng-12394	250	49	r	r	NOUN
fumecheng-12394	250	50			NOUN
fumecheng-12394	250	51			NOUN
fumecheng-12394	250	52	=	=	PUNCT
fumecheng-12394	251	1	−	−	PROPN
fumecheng-12394	251	2			PROPN
fumecheng-12394	252	1			ADJ
fumecheng-12394	252	2			NOUN
fumecheng-12394	252	3			NOUN
fumecheng-12394	252	4			NOUN
fumecheng-12394	252	5	.	.	PUNCT
fumecheng-12394	253	1	writing	write	VERB
fumecheng-12394	253	2	eqs	eqs	PROPN
fumecheng-12394	253	3	.	.	PUNCT
fumecheng-12394	254	1	(	(	PUNCT
fumecheng-12394	254	2	16	16	NUM
fumecheng-12394	254	3	)	)	PUNCT
fumecheng-12394	254	4	through	through	ADP
fumecheng-12394	254	5	the	the	DET
fumecheng-12394	254	6	standard	standard	ADJ
fumecheng-12394	254	7	decompositions	decomposition	NOUN
fumecheng-12394	254	8	of	of	ADP
fumecheng-12394	254	9	the	the	DET
fumecheng-12394	254	10	bessel	bessel	NOUN
fumecheng-12394	254	11	functions	function	NOUN
fumecheng-12394	254	12	ii	ii	PROPN
fumecheng-12394	254	13	and	and	CCONJ
fumecheng-12394	254	14	ki	ki	PROPN
fumecheng-12394	254	15	(	(	PUNCT
fumecheng-12394	254	16	i=0,1	i=0,1	NOUN
fumecheng-12394	254	17	)	)	PUNCT
fumecheng-12394	254	18	into	into	ADP
fumecheng-12394	254	19	series	series	NOUN
fumecheng-12394	254	20	according	accord	VERB
fumecheng-12394	254	21	to	to	ADP
fumecheng-12394	254	22	the	the	DET
fumecheng-12394	254	23	degrees	degree	NOUN
fumecheng-12394	254	24	of	of	ADP
fumecheng-12394	254	25	the	the	DET
fumecheng-12394	254	26	radial	radial	ADJ
fumecheng-12394	254	27	coordinate	coordinate	NOUN
fumecheng-12394	254	28	r	r	NOUN
fumecheng-12394	254	29	and	and	CCONJ
fumecheng-12394	254	30	,	,	PUNCT
fumecheng-12394	254	31	limiting	limit	VERB
fumecheng-12394	254	32	them	they	PRON
fumecheng-12394	254	33	to	to	ADP
fumecheng-12394	254	34	the	the	DET
fumecheng-12394	254	35	first	first	ADJ
fumecheng-12394	254	36	terms	term	NOUN
fumecheng-12394	254	37	at	at	ADP
fumecheng-12394	254	38	r	r	NOUN
fumecheng-12394	254	39	=	=	SYM
fumecheng-12394	254	40	ξ	ξ	PROPN
fumecheng-12394	254	41	,	,	PUNCT
fumecheng-12394	254	42	we	we	PRON
fumecheng-12394	254	43	obtain	obtain	VERB
fumecheng-12394	254	44	the	the	DET
fumecheng-12394	254	45	indicated	indicate	VERB
fumecheng-12394	254	46	main	main	ADJ
fumecheng-12394	254	47	parts	part	NOUN
fumecheng-12394	254	48	,	,	PUNCT
fumecheng-12394	254	49	which	which	PRON
fumecheng-12394	254	50	we	we	PRON
fumecheng-12394	254	51	denote	denote	VERB
fumecheng-12394	254	52	by	by	ADP
fumecheng-12394	254	53	0,0	0,0	NUM
fumecheng-12394	254	54	0,1,u	0,1,u	NOUN
fumecheng-12394	254	55	u	u	NOUN
fumecheng-12394	254	56	and	and	CCONJ
fumecheng-12394	254	57	0,0	0,0	NUM
fumecheng-12394	254	58	0,1,w	0,1,w	X
fumecheng-12394	255	1	w	w	NOUN
fumecheng-12394	255	2	:	:	PUNCT
fumecheng-12394	255	3	2	2	NUM
fumecheng-12394	255	4	2	2	NUM
fumecheng-12394	255	5	0,0	0,0	NUM
fumecheng-12394	255	6	10	10	NUM
fumecheng-12394	255	7	0	0	NUM
fumecheng-12394	255	8	10	10	NUM
fumecheng-12394	255	9	0,1	0,1	NUM
fumecheng-12394	255	10	2	2	NUM
fumecheng-12394	255	11	0	0	NUM
fumecheng-12394	255	12	2	2	NUM
fumecheng-12394	255	13	2	2	NUM
fumecheng-12394	255	14	2	2	NUM
fumecheng-12394	255	15	0,0	0,0	NUM
fumecheng-12394	255	16	0	0	NUM
fumecheng-12394	255	17	10	10	NUM
fumecheng-12394	255	18	0	0	NUM
fumecheng-12394	255	19	10	10	NUM
fumecheng-12394	255	20	0,1	0,1	NUM
fumecheng-12394	255	21	2	2	NUM
fumecheng-12394	255	22	2	2	NUM
fumecheng-12394	255	23	,	,	PUNCT
fumecheng-12394	255	24	(	(	PUNCT
fumecheng-12394	255	25	)	)	PUNCT
fumecheng-12394	255	26	/	/	PUNCT
fumecheng-12394	255	27	,	,	PUNCT
fumecheng-12394	255	28	(	(	PUNCT
fumecheng-12394	255	29	)	)	PUNCT
fumecheng-12394	255	30	/	/	SYM
fumecheng-12394	255	31	u	u	NOUN
fumecheng-12394	255	32	kb	kb	PROPN
fumecheng-12394	255	33	c	c	NOUN
fumecheng-12394	255	34	u	u	NOUN
fumecheng-12394	255	35	kb	kb	PROPN
fumecheng-12394	255	36	c	c	PROPN
fumecheng-12394	255	37	w	w	PROPN
fumecheng-12394	255	38	b	b	PROPN
fumecheng-12394	256	1	k	k	PROPN
fumecheng-12394	256	2	c	c	PROPN
fumecheng-12394	256	3	w	w	PROPN
fumecheng-12394	256	4	b	b	PROPN
fumecheng-12394	256	5	kc	kc	PROPN
fumecheng-12394	256	6	=	=	SYM
fumecheng-12394	256	7	−	−	PROPN
fumecheng-12394	256	8	=	=	SYM
fumecheng-12394	257	1	−	−	PROPN
fumecheng-12394	257	2	=	=	SYM
fumecheng-12394	257	3	−	−	PROPN
fumecheng-12394	257	4	=	=	SYM
fumecheng-12394	258	1	−	−	PROPN
fumecheng-12394	258	2			NOUN
fumecheng-12394	258	3			PROPN
fumecheng-12394	258	4			NOUN
fumecheng-12394	258	5			X
fumecheng-12394	258	6			NOUN
fumecheng-12394	258	7			NOUN
fumecheng-12394	258	8	(	(	PUNCT
fumecheng-12394	258	9	17	17	NUM
fumecheng-12394	258	10	)	)	PUNCT
fumecheng-12394	258	11	where	where	SCONJ
fumecheng-12394	258	12	:	:	PUNCT
fumecheng-12394	258	13	0	0	NUM
fumecheng-12394	258	14	0	0	NUM
fumecheng-12394	258	15	10	10	NUM
fumecheng-12394	258	16	1	1	NUM
fumecheng-12394	258	17	2	2	NUM
fumecheng-12394	258	18	10	10	NUM
fumecheng-12394	258	19	1	1	NUM
fumecheng-12394	258	20	2	2	NUM
fumecheng-12394	258	21	1	1	NUM
fumecheng-12394	258	22	1	1	NUM
fumecheng-12394	258	23	ln	ln	NOUN
fumecheng-12394	258	24	(	(	PUNCT
fumecheng-12394	258	25	1	1	NUM
fumecheng-12394	258	26	)	)	PUNCT
fumecheng-12394	258	27	,	,	PUNCT
fumecheng-12394	258	28	ln	ln	X
fumecheng-12394	258	29	(	(	PUNCT
fumecheng-12394	258	30	1	1	NUM
fumecheng-12394	258	31	)	)	SYM
fumecheng-12394	258	32	2	2	NUM
fumecheng-12394	258	33	2	2	NUM
fumecheng-12394	258	34	2	2	NUM
fumecheng-12394	258	35	2	2	NUM
fumecheng-12394	258	36	b	b	SYM
fumecheng-12394	258	37	b	b	PROPN
fumecheng-12394	258	38	b	b	PROPN
fumecheng-12394	259	1	c	c	NOUN
fumecheng-12394	259	2	c	c	NOUN
fumecheng-12394	259	3	c	c	NOUN
fumecheng-12394	259	4			PROPN
fumecheng-12394	259	5			INTJ
fumecheng-12394	259	6			PROPN
fumecheng-12394	259	7			NOUN
fumecheng-12394	259	8	=	=	PUNCT
fumecheng-12394	259	9	−	−	PROPN
fumecheng-12394	259	10	−	−	NOUN
fumecheng-12394	260	1	−	−	PROPN
fumecheng-12394	260	2	=	=	SYM
fumecheng-12394	260	3	−	−	PROPN
fumecheng-12394	261	1	−	−	NOUN
fumecheng-12394	261	2	−	−	X
fumecheng-12394	261	3			ADJ
fumecheng-12394	261	4			NOUN
fumecheng-12394	261	5			NOUN
fumecheng-12394	261	6			NOUN
fumecheng-12394	261	7			PROPN
fumecheng-12394	261	8			NOUN
fumecheng-12394	261	9			PROPN
fumecheng-12394	261	10			NOUN
fumecheng-12394	261	11			ADP
fumecheng-12394	261	12			NOUN
fumecheng-12394	261	13			NOUN
fumecheng-12394	261	14			NOUN
fumecheng-12394	261	15			NOUN
fumecheng-12394	261	16	,	,	PUNCT
fumecheng-12394	261	17	and	and	CCONJ
fumecheng-12394	261	18	ψ(n	ψ(n	NUM
fumecheng-12394	261	19	)	)	PUNCT
fumecheng-12394	261	20	,	,	PUNCT
fumecheng-12394	261	21	n=1,2	n=1,2	NOUN
fumecheng-12394	261	22	,	,	PUNCT
fumecheng-12394	261	23	…	…	PUNCT
fumecheng-12394	261	24	is	be	AUX
fumecheng-12394	261	25	the	the	DET
fumecheng-12394	261	26	logarithmic	logarithmic	ADJ
fumecheng-12394	261	27	derivative	derivative	NOUN
fumecheng-12394	261	28	of	of	ADP
fumecheng-12394	261	29	the	the	DET
fumecheng-12394	261	30	gamma	gamma	NOUN
fumecheng-12394	261	31	function	function	NOUN
fumecheng-12394	261	32	.	.	PUNCT
fumecheng-12394	262	1	writing	write	VERB
fumecheng-12394	262	2	eqs.(16	eqs.(16	PROPN
fumecheng-12394	262	3	)	)	PUNCT
fumecheng-12394	262	4	for	for	ADP
fumecheng-12394	262	5	the	the	DET
fumecheng-12394	262	6	transformed	transform	VERB
fumecheng-12394	262	7	displacements	displacement	NOUN
fumecheng-12394	262	8	ũ0(r	ũ0(r	PROPN
fumecheng-12394	262	9	,	,	PUNCT
fumecheng-12394	262	10	k	k	PROPN
fumecheng-12394	262	11	,	,	PUNCT
fumecheng-12394	262	12	p	p	NOUN
fumecheng-12394	262	13	)	)	PUNCT
fumecheng-12394	262	14	and	and	CCONJ
fumecheng-12394	262	15	0w	0w	NUM
fumecheng-12394	262	16	(	(	PUNCT
fumecheng-12394	262	17	r	r	NOUN
fumecheng-12394	262	18	,	,	PUNCT
fumecheng-12394	262	19	k	k	NOUN
fumecheng-12394	262	20	,	,	PUNCT
fumecheng-12394	262	21	p	p	NOUN
fumecheng-12394	262	22	)	)	PUNCT
fumecheng-12394	262	23	through	through	ADP
fumecheng-12394	262	24	the	the	DET
fumecheng-12394	262	25	standard	standard	ADJ
fumecheng-12394	262	26	decompositions	decomposition	NOUN
fumecheng-12394	262	27	of	of	ADP
fumecheng-12394	262	28	the	the	DET
fumecheng-12394	262	29	bessel	bessel	NOUN
fumecheng-12394	262	30	functions	function	NOUN
fumecheng-12394	262	31	ii	ii	PROPN
fumecheng-12394	262	32	and	and	CCONJ
fumecheng-12394	262	33	ki	ki	PROPN
fumecheng-12394	262	34	(	(	PUNCT
fumecheng-12394	262	35	i=0,1	i=0,1	NOUN
fumecheng-12394	262	36	)	)	PUNCT
fumecheng-12394	262	37	into	into	ADP
fumecheng-12394	262	38	series	series	NOUN
fumecheng-12394	262	39	according	accord	VERB
fumecheng-12394	262	40	to	to	ADP
fumecheng-12394	262	41	longitudinal	longitudinal	ADJ
fumecheng-12394	262	42	-	-	PUNCT
fumecheng-12394	262	43	radial	radial	ADJ
fumecheng-12394	262	44	vibrations	vibration	NOUN
fumecheng-12394	262	45	of	of	ADP
fumecheng-12394	262	46	a	a	DET
fumecheng-12394	262	47	viscoelastic	viscoelastic	ADJ
fumecheng-12394	262	48	cylindrical	cylindrical	ADJ
fumecheng-12394	262	49	three	three	NUM
fumecheng-12394	262	50	-	-	PUNCT
fumecheng-12394	262	51	layer	layer	NOUN
fumecheng-12394	262	52	structure	structure	NOUN
fumecheng-12394	262	53	479	479	NUM
fumecheng-12394	262	54	the	the	DET
fumecheng-12394	262	55	degrees	degree	NOUN
fumecheng-12394	262	56	of	of	ADP
fumecheng-12394	262	57	the	the	DET
fumecheng-12394	262	58	radial	radial	ADJ
fumecheng-12394	262	59	coordinate	coordinate	NOUN
fumecheng-12394	262	60	r	r	NOUN
fumecheng-12394	262	61	and	and	CCONJ
fumecheng-12394	262	62	substituting	substitute	VERB
fumecheng-12394	262	63	in	in	ADP
fumecheng-12394	262	64	them	they	PRON
fumecheng-12394	262	65	the	the	DET
fumecheng-12394	262	66	values	value	NOUN
fumecheng-12394	262	67	of	of	ADP
fumecheng-12394	262	68	the	the	DET
fumecheng-12394	262	69	constants	constant	NOUN
fumecheng-12394	262	70	b10	b10	PROPN
fumecheng-12394	262	71	,	,	PUNCT
fumecheng-12394	262	72	c10	c10	PROPN
fumecheng-12394	262	73	,	,	PUNCT
fumecheng-12394	262	74	b2	b2	NOUN
fumecheng-12394	262	75	and	and	CCONJ
fumecheng-12394	262	76	c2	c2	PROPN
fumecheng-12394	262	77	,	,	PUNCT
fumecheng-12394	262	78	found	find	VERB
fumecheng-12394	262	79	from	from	ADP
fumecheng-12394	262	80	the	the	DET
fumecheng-12394	262	81	system	system	NOUN
fumecheng-12394	262	82	of	of	ADP
fumecheng-12394	262	83	eqs	eqs	PROPN
fumecheng-12394	262	84	.	.	PUNCT
fumecheng-12394	263	1	(	(	PUNCT
fumecheng-12394	263	2	17	17	NUM
fumecheng-12394	263	3	)	)	PUNCT
fumecheng-12394	263	4	,	,	PUNCT
fumecheng-12394	263	5	we	we	PRON
fumecheng-12394	263	6	obtain	obtain	VERB
fumecheng-12394	263	7			PROPN
fumecheng-12394	263	8			PROPN
fumecheng-12394	263	9	2	2	NUM
fumecheng-12394	263	10	(	(	PUNCT
fumecheng-12394	263	11	0	0	NUM
fumecheng-12394	263	12	)	)	PUNCT
fumecheng-12394	263	13	(	(	PUNCT
fumecheng-12394	263	14	0	0	NUM
fumecheng-12394	263	15	)	)	PUNCT
fumecheng-12394	263	16	2	2	NUM
fumecheng-12394	263	17	0	0	NUM
fumecheng-12394	263	18	0	0	NUM
fumecheng-12394	263	19	0,0	0,0	NUM
fumecheng-12394	263	20	1	1	NUM
fumecheng-12394	263	21	0,0	0,0	NUM
fumecheng-12394	263	22	0	0	NUM
fumecheng-12394	263	23	0,0	0,0	NUM
fumecheng-12394	263	24	0	0	NUM
fumecheng-12394	263	25	2	2	NUM
fumecheng-12394	263	26	2	2	NUM
fumecheng-12394	263	27	2	2	NUM
fumecheng-12394	263	28	(	(	PUNCT
fumecheng-12394	263	29	0	0	NUM
fumecheng-12394	263	30	)	)	PUNCT
fumecheng-12394	263	31	(	(	PUNCT
fumecheng-12394	263	32	0	0	NUM
fumecheng-12394	263	33	)	)	PUNCT
fumecheng-12394	263	34	0	0	NUM
fumecheng-12394	264	1	0,1	0,1	NUM
fumecheng-12394	264	2	0	0	NUM
fumecheng-12394	264	3	2	2	NUM
fumecheng-12394	264	4	0,1	0,1	NUM
fumecheng-12394	264	5	0,1	0,1	NUM
fumecheng-12394	264	6	3	3	NUM
fumecheng-12394	264	7	,	,	PUNCT
fumecheng-12394	264	8	2	2	NUM
fumecheng-12394	264	9	(	(	PUNCT
fumecheng-12394	264	10	,	,	PUNCT
fumecheng-12394	264	11	,	,	PUNCT
fumecheng-12394	264	12	)	)	PUNCT
fumecheng-12394	264	13	(	(	PUNCT
fumecheng-12394	264	14	)	)	PUNCT
fumecheng-12394	264	15	(	(	PUNCT
fumecheng-12394	264	16	2	2	X
fumecheng-12394	264	17	)	)	PUNCT
fumecheng-12394	264	18	(	(	PUNCT
fumecheng-12394	264	19	)	)	PUNCT
fumecheng-12394	264	20	(	(	PUNCT
fumecheng-12394	264	21	)	)	PUNCT
fumecheng-12394	264	22	,	,	PUNCT
fumecheng-12394	264	23	(	(	PUNCT
fumecheng-12394	264	24	!	!	PUNCT
fumecheng-12394	264	25	)	)	PUNCT
fumecheng-12394	265	1	n	n	CCONJ
fumecheng-12394	265	2	n	n	CCONJ
fumecheng-12394	265	3	n	n	CCONJ
fumecheng-12394	265	4	n	n	CCONJ
fumecheng-12394	265	5	n	n	CCONJ
fumecheng-12394	265	6	n	n	CCONJ
fumecheng-12394	265	7	n	n	CCONJ
fumecheng-12394	265	8	u	u	NOUN
fumecheng-12394	266	1	r	r	NOUN
fumecheng-12394	266	2	k	k	PROPN
fumecheng-12394	266	3	p	p	X
fumecheng-12394	266	4	u	u	X
fumecheng-12394	266	5	q	q	X
fumecheng-12394	266	6	q	q	NOUN
fumecheng-12394	266	7	kw	kw	INTJ
fumecheng-12394	266	8	u	u	NOUN
fumecheng-12394	266	9	r	r	NOUN
fumecheng-12394	266	10	u	u	NOUN
fumecheng-12394	266	11	q	q	NOUN
fumecheng-12394	266	12	q	q	NOUN
fumecheng-12394	266	13	kw	kw	INTJ
fumecheng-12394	266	14	u	u	NOUN
fumecheng-12394	266	15	r	r	NOUN
fumecheng-12394	266	16	n	n	NOUN
fumecheng-12394	266	17			NOUN
fumecheng-12394	266	18	=	=	PUNCT
fumecheng-12394	267	1	=	=	PUNCT
fumecheng-12394	268	1	+	+	NUM
fumecheng-12394	269	1	−	−	PROPN
fumecheng-12394	269	2	−	−	PROPN
fumecheng-12394	269	3			PROPN
fumecheng-12394	269	4	−	−	ADJ
fumecheng-12394	269	5	+	+	CCONJ
fumecheng-12394	269	6	−	−	PROPN
fumecheng-12394	269	7			PROPN
fumecheng-12394	269	8			X
fumecheng-12394	269	9			NOUN
fumecheng-12394	269	10			X
fumecheng-12394	269	11			VERB
fumecheng-12394	269	12			X
fumecheng-12394	269	13			PROPN
fumecheng-12394	269	14			NUM
fumecheng-12394	269	15	(	(	PUNCT
fumecheng-12394	269	16	18	18	NUM
fumecheng-12394	269	17	)	)	PUNCT
fumecheng-12394	269	18			NOUN
fumecheng-12394	269	19			PROPN
fumecheng-12394	269	20	2	2	NUM
fumecheng-12394	269	21	2	2	NUM
fumecheng-12394	269	22	(	(	PUNCT
fumecheng-12394	269	23	0	0	NUM
fumecheng-12394	269	24	)	)	PUNCT
fumecheng-12394	269	25	(	(	PUNCT
fumecheng-12394	269	26	0	0	NUM
fumecheng-12394	269	27	)	)	PUNCT
fumecheng-12394	269	28	0	0	NUM
fumecheng-12394	270	1	0,1	0,1	NUM
fumecheng-12394	270	2	0	0	NUM
fumecheng-12394	270	3	0,0	0,0	NUM
fumecheng-12394	270	4	0	0	NUM
fumecheng-12394	270	5	1	1	NUM
fumecheng-12394	270	6	0,0	0,0	NUM
fumecheng-12394	270	7	0,0	0,0	NUM
fumecheng-12394	270	8	0	0	NUM
fumecheng-12394	270	9	2	2	NUM
fumecheng-12394	270	10	1	1	NUM
fumecheng-12394	270	11	2	2	NUM
fumecheng-12394	270	12	2	2	NUM
fumecheng-12394	270	13	(	(	PUNCT
fumecheng-12394	270	14	0	0	NUM
fumecheng-12394	270	15	)	)	PUNCT
fumecheng-12394	270	16	(	(	PUNCT
fumecheng-12394	270	17	0	0	NUM
fumecheng-12394	270	18	)	)	PUNCT
fumecheng-12394	270	19	2	2	NUM
fumecheng-12394	270	20	0	0	NUM
fumecheng-12394	270	21	0,1	0,1	NUM
fumecheng-12394	270	22	2	2	NUM
fumecheng-12394	270	23	1	1	NUM
fumecheng-12394	270	24	0	0	NUM
fumecheng-12394	270	25	0,1	0,1	NUM
fumecheng-12394	270	26	0,1	0,1	NUM
fumecheng-12394	270	27	1	1	NUM
fumecheng-12394	270	28	,	,	PUNCT
fumecheng-12394	270	29	(	(	PUNCT
fumecheng-12394	270	30	,	,	PUNCT
fumecheng-12394	270	31	,	,	PUNCT
fumecheng-12394	270	32	)	)	PUNCT
fumecheng-12394	270	33	(	(	PUNCT
fumecheng-12394	270	34	)	)	PUNCT
fumecheng-12394	270	35	(	(	PUNCT
fumecheng-12394	270	36	2	2	X
fumecheng-12394	270	37	)	)	PUNCT
fumecheng-12394	270	38	(	(	PUNCT
fumecheng-12394	270	39	)	)	PUNCT
fumecheng-12394	270	40	(	(	PUNCT
fumecheng-12394	270	41	)	)	PUNCT
fumecheng-12394	270	42	!	!	PUNCT
fumecheng-12394	271	1	(	(	PUNCT
fumecheng-12394	271	2	1	1	NUM
fumecheng-12394	271	3	)	)	PUNCT
fumecheng-12394	271	4	!	!	PUNCT
fumecheng-12394	272	1	n	n	CCONJ
fumecheng-12394	272	2	n	n	CCONJ
fumecheng-12394	272	3	n	n	CCONJ
fumecheng-12394	272	4	n	n	CCONJ
fumecheng-12394	272	5	n	n	CCONJ
fumecheng-12394	272	6	n	n	CCONJ
fumecheng-12394	272	7	n	n	NOUN
fumecheng-12394	272	8	w	w	NOUN
fumecheng-12394	272	9	r	r	NOUN
fumecheng-12394	273	1	k	k	PROPN
fumecheng-12394	273	2	p	p	X
fumecheng-12394	273	3	w	w	PROPN
fumecheng-12394	273	4	w	w	PROPN
fumecheng-12394	273	5	q	q	PROPN
fumecheng-12394	273	6	q	q	PROPN
fumecheng-12394	273	7	w	w	NOUN
fumecheng-12394	273	8	ku	ku	PROPN
fumecheng-12394	273	9	r	r	PROPN
fumecheng-12394	273	10	r	r	PROPN
fumecheng-12394	273	11	w	w	PROPN
fumecheng-12394	273	12	q	q	X
fumecheng-12394	273	13	q	q	PROPN
fumecheng-12394	273	14	w	w	PROPN
fumecheng-12394	273	15	ku	ku	PROPN
fumecheng-12394	273	16	r	r	PROPN
fumecheng-12394	273	17	n	n	NOUN
fumecheng-12394	273	18	n	n	ADV
fumecheng-12394	273	19			NOUN
fumecheng-12394	273	20	=	=	PUNCT
fumecheng-12394	274	1	+	+	PUNCT
fumecheng-12394	275	1	+	+	PUNCT
fumecheng-12394	275	2	+	+	NUM
fumecheng-12394	275	3	=	=	SYM
fumecheng-12394	275	4	−	−	PROPN
fumecheng-12394	275	5	+	+	CCONJ
fumecheng-12394	275	6			PROPN
fumecheng-12394	275	7	+	+	CCONJ
fumecheng-12394	275	8	−	−	PROPN
fumecheng-12394	275	9	−	−	PROPN
fumecheng-12394	275	10			PROPN
fumecheng-12394	275	11	−	−	ADJ
fumecheng-12394	275	12	+	+	CCONJ
fumecheng-12394	275	13	−	−	PROPN
fumecheng-12394	275	14			PROPN
fumecheng-12394	275	15	+	+	CCONJ
fumecheng-12394	275	16			NOUN
fumecheng-12394	275	17			NOUN
fumecheng-12394	275	18			NOUN
fumecheng-12394	275	19			NOUN
fumecheng-12394	275	20			ADP
fumecheng-12394	275	21			PROPN
fumecheng-12394	275	22			PROPN
fumecheng-12394	275	23			NUM
fumecheng-12394	275	24	(	(	PUNCT
fumecheng-12394	275	25	19	19	NUM
fumecheng-12394	275	26	)	)	PUNCT
fumecheng-12394	275	27	where	where	SCONJ
fumecheng-12394	275	28	:	:	PUNCT
fumecheng-12394	275	29	0	0	NUM
fumecheng-12394	275	30	0	0	NUM
fumecheng-12394	275	31	(	(	PUNCT
fumecheng-12394	275	32	0	0	NUM
fumecheng-12394	275	33	)	)	SYM
fumecheng-12394	275	34	1	1	NUM
fumecheng-12394	275	35	(	(	PUNCT
fumecheng-12394	275	36	0	0	NUM
fumecheng-12394	275	37	)	)	PUNCT
fumecheng-12394	275	38	1	1	NUM
fumecheng-12394	275	39	1	1	NUM
fumecheng-12394	275	40	0	0	NUM
fumecheng-12394	275	41	2	2	NUM
fumecheng-12394	275	42	0	0	NUM
fumecheng-12394	275	43	3	3	NUM
fumecheng-12394	275	44	,	,	PUNCT
fumecheng-12394	275	45	1	1	NUM
fumecheng-12394	275	46	1	1	NUM
fumecheng-12394	275	47	1	1	NUM
fumecheng-12394	275	48	1	1	NUM
fumecheng-12394	275	49	;	;	PUNCT
fumecheng-12394	275	50	1	1	NUM
fumecheng-12394	275	51	;	;	PUNCT
fumecheng-12394	275	52	ln	ln	ADJ
fumecheng-12394	275	53	;	;	PUNCT
fumecheng-12394	275	54	2	2	NUM
fumecheng-12394	275	55	n	n	NUM
fumecheng-12394	275	56	n	n	NOUN
fumecheng-12394	275	57	k	k	NOUN
fumecheng-12394	275	58	r	r	NOUN
fumecheng-12394	275	59	q	q	NOUN
fumecheng-12394	275	60	r	r	NOUN
fumecheng-12394	275	61	r	r	NOUN
fumecheng-12394	275	62	q	q	NOUN
fumecheng-12394	275	63	r	r	NOUN
fumecheng-12394	275	64	r	r	NOUN
fumecheng-12394	275	65	k	k	NOUN
fumecheng-12394	275	66	−	−	NOUN
fumecheng-12394	275	67	−	−	PROPN
fumecheng-12394	276	1	=	=	SYM
fumecheng-12394	276	2	=	=	PUNCT
fumecheng-12394	277	1	−	−	PROPN
fumecheng-12394	277	2			PROPN
fumecheng-12394	277	3	=	=	SYM
fumecheng-12394	277	4			NUM
fumecheng-12394	277	5	−	−	NOUN
fumecheng-12394	277	6	=	=	SYM
fumecheng-12394	278	1	+	+	NUM
fumecheng-12394	278	2	−	−	NOUN
fumecheng-12394	278	3			NOUN
fumecheng-12394	278	4			NUM
fumecheng-12394	278	5			NOUN
fumecheng-12394	278	6	(	(	PUNCT
fumecheng-12394	278	7	)	)	PUNCT
fumecheng-12394	278	8	2	2	NUM
fumecheng-12394	278	9	2	2	NUM
fumecheng-12394	278	10	1	1	NUM
fumecheng-12394	278	11	2	2	NUM
fumecheng-12394	278	12	1(0	1(0	NUM
fumecheng-12394	278	13	)	)	PUNCT
fumecheng-12394	278	14	2	2	NUM
fumecheng-12394	278	15	(	(	PUNCT
fumecheng-12394	278	16	0	0	NUM
fumecheng-12394	278	17	)	)	PUNCT
fumecheng-12394	278	18	(	(	PUNCT
fumecheng-12394	278	19	0	0	NUM
fumecheng-12394	278	20	)	)	PUNCT
fumecheng-12394	278	21	(	(	PUNCT
fumecheng-12394	278	22	0	0	NUM
fumecheng-12394	278	23	)	)	PUNCT
fumecheng-12394	278	24	2	2	NUM
fumecheng-12394	278	25	20	20	NUM
fumecheng-12394	278	26	0	0	NUM
fumecheng-12394	278	27	0	0	NUM
fumecheng-12394	278	28	0	0	NUM
fumecheng-12394	278	29	0	0	NUM
fumecheng-12394	278	30	1	1	NUM
fumecheng-12394	278	31	2	2	NUM
fumecheng-12394	278	32	0	0	NUM
fumecheng-12394	278	33	02	02	NUM
fumecheng-12394	278	34	2	2	NUM
fumecheng-12394	278	35	10	10	NUM
fumecheng-12394	278	36	0	0	NUM
fumecheng-12394	278	37	;	;	PUNCT
fumecheng-12394	278	38	0	0	NUM
fumecheng-12394	278	39	;	;	PUNCT
fumecheng-12394	278	40	1	1	NUM
fumecheng-12394	278	41	;	;	PUNCT
fumecheng-12394	278	42	.	.	PUNCT
fumecheng-12394	279	1	n	n	CCONJ
fumecheng-12394	279	2	n	n	CCONJ
fumecheng-12394	279	3	n	n	CCONJ
fumecheng-12394	279	4	n	n	ADV
fumecheng-12394	279	5	k	k	PROPN
fumecheng-12394	279	6	k	k	PROPN
fumecheng-12394	280	1	n	n	CCONJ
fumecheng-12394	280	2	k	k	X
fumecheng-12394	280	3	q	q	X
fumecheng-12394	280	4	q	q	X
fumecheng-12394	280	5	q	q	X
fumecheng-12394	280	6	q	q	NOUN
fumecheng-12394	280	7	−	−	NOUN
fumecheng-12394	280	8	−	−	NOUN
fumecheng-12394	280	9	−	−	PROPN
fumecheng-12394	280	10	=	=	SYM
fumecheng-12394	281	1	−	−	PROPN
fumecheng-12394	281	2	=	=	SYM
fumecheng-12394	282	1	=	=	PUNCT
fumecheng-12394	282	2	=	=	PUNCT
fumecheng-12394	282	3	=	=	PUNCT
fumecheng-12394	283	1	=	=	PUNCT
fumecheng-12394	283	2	+	+	NUM
fumecheng-12394	283	3	−	−	NOUN
fumecheng-12394	283	4			X
fumecheng-12394	283	5			X
fumecheng-12394	283	6			PROPN
fumecheng-12394	283	7			NOUN
fumecheng-12394	283	8			PROPN
fumecheng-12394	283	9			NOUN
fumecheng-12394	283	10			PROPN
fumecheng-12394	283	11			NOUN
fumecheng-12394	283	12			NOUN
fumecheng-12394	283	13	let	let	VERB
fumecheng-12394	283	14	us	we	PRON
fumecheng-12394	283	15	introduce	introduce	VERB
fumecheng-12394	283	16	the	the	DET
fumecheng-12394	283	17	following	follow	VERB
fumecheng-12394	283	18	representations	representation	NOUN
fumecheng-12394	283	19	for	for	ADP
fumecheng-12394	283	20	functions	function	NOUN
fumecheng-12394	283	21	u0,i(r	u0,i(r	ADP
fumecheng-12394	283	22	,	,	PUNCT
fumecheng-12394	283	23	z	z	PROPN
fumecheng-12394	283	24	,	,	PUNCT
fumecheng-12394	283	25	t	t	PROPN
fumecheng-12394	283	26	)	)	PUNCT
fumecheng-12394	283	27	and	and	CCONJ
fumecheng-12394	283	28	w0,i(r	w0,i(r	ADP
fumecheng-12394	283	29	,	,	PUNCT
fumecheng-12394	283	30	z	z	PROPN
fumecheng-12394	283	31	,	,	PUNCT
fumecheng-12394	283	32	t	t	PROPN
fumecheng-12394	283	33	):	):	PUNCT
fumecheng-12394	283	34	0	0	NUM
fumecheng-12394	283	35	,	,	PUNCT
fumecheng-12394	283	36	0	0	NUM
fumecheng-12394	283	37	,	,	PUNCT
fumecheng-12394	283	38	0	0	NUM
fumecheng-12394	283	39	,	,	PUNCT
fumecheng-12394	283	40	0	0	NUM
fumecheng-12394	283	41	,	,	PUNCT
fumecheng-12394	283	42	0	0	NUM
fumecheng-12394	283	43	(	(	PUNCT
fumecheng-12394	283	44	)	)	PUNCT
fumecheng-12394	283	45	0	0	NUM
fumecheng-12394	284	1	(	(	PUNCT
fumecheng-12394	284	2	)	)	PUNCT
fumecheng-12394	284	3	cos	cos	ADP
fumecheng-12394	284	4	sin	sin	NOUN
fumecheng-12394	284	5	,	,	PUNCT
fumecheng-12394	284	6	sin	sin	NOUN
fumecheng-12394	284	7	cos	cos	PROPN
fumecheng-12394	284	8	pt	pt	PROPN
fumecheng-12394	284	9	pt	pt	INTJ
fumecheng-12394	285	1	i	i	PRON
fumecheng-12394	285	2	i	i	PRON
fumecheng-12394	286	1	i	i	PRON
fumecheng-12394	287	1	i	i	VERB
fumecheng-12394	287	2	l	l	VERB
fumecheng-12394	287	3	l	l	X
fumecheng-12394	288	1	kz	kz	PROPN
fumecheng-12394	288	2	kz	kz	PROPN
fumecheng-12394	288	3	u	u	PROPN
fumecheng-12394	288	4	dk	dk	PROPN
fumecheng-12394	288	5	u	u	NOUN
fumecheng-12394	288	6	e	e	NOUN
fumecheng-12394	288	7	dp	dp	NOUN
fumecheng-12394	288	8	w	w	NOUN
fumecheng-12394	288	9	dk	dk	PROPN
fumecheng-12394	288	10	w	w	PROPN
fumecheng-12394	288	11	e	e	PROPN
fumecheng-12394	288	12	dp	dp	PROPN
fumecheng-12394	288	13	kz	kz	PROPN
fumecheng-12394	288	14	kz	kz	PROPN
fumecheng-12394	288	15			PROPN
fumecheng-12394	288	16			PUNCT
fumecheng-12394	288	17			PROPN
fumecheng-12394	288	18	=	=	PUNCT
fumecheng-12394	289	1	=	=	ADJ
fumecheng-12394	289	2			PROPN
fumecheng-12394	289	3			PROPN
fumecheng-12394	289	4	−	−	PROPN
fumecheng-12394	289	5			PROPN
fumecheng-12394	289	6			X
fumecheng-12394	289	7			X
fumecheng-12394	289	8			X
fumecheng-12394	289	9			X
fumecheng-12394	289	10	(	(	PUNCT
fumecheng-12394	289	11	20	20	NUM
fumecheng-12394	289	12	)	)	PUNCT
fumecheng-12394	289	13	and	and	CCONJ
fumecheng-12394	289	14	operators	operator	NOUN
fumecheng-12394	289	15	(	(	PUNCT
fumecheng-12394	289	16	)	)	PUNCT
fumecheng-12394	289	17	,	,	PUNCT
fumecheng-12394	289	18	(	(	PUNCT
fumecheng-12394	289	19	)	)	PUNCT
fumecheng-12394	289	20	n	n	CCONJ
fumecheng-12394	289	21	n	n	PRON
fumecheng-12394	289	22	m	m	VERB
fumecheng-12394	289	23	m	m	PROPN
fumecheng-12394	289	24			NOUN
fumecheng-12394	289	25			NUM
fumecheng-12394	289	26			X
fumecheng-12394	289	27	,	,	PUNCT
fumecheng-12394	289	28	(	(	PUNCT
fumecheng-12394	289	29	m=0,1,2	m=0,1,2	NUM
fumecheng-12394	289	30	;	;	PUNCT
fumecheng-12394	289	31	n=0,1,2	n=0,1,2	NUM
fumecheng-12394	289	32	,	,	PUNCT
fumecheng-12394	289	33	…	…	PUNCT
fumecheng-12394	289	34	)	)	PUNCT
fumecheng-12394	289	35	2	2	NUM
fumecheng-12394	289	36	2	2	NUM
fumecheng-12394	289	37	0	0	NUM
fumecheng-12394	289	38	(	(	PUNCT
fumecheng-12394	289	39	)	)	PUNCT
fumecheng-12394	289	40	sin	sin	NOUN
fumecheng-12394	289	41	(	(	PUNCT
fumecheng-12394	289	42	)	)	PUNCT
fumecheng-12394	289	43	,	,	PUNCT
fumecheng-12394	289	44	(	(	PUNCT
fumecheng-12394	289	45	)	)	PUNCT
fumecheng-12394	289	46	(	(	PUNCT
fumecheng-12394	289	47	,	,	PUNCT
fumecheng-12394	289	48	)	)	PUNCT
fumecheng-12394	289	49	(	(	PUNCT
fumecheng-12394	289	50	,	,	PUNCT
fumecheng-12394	289	51	,	,	PUNCT
fumecheng-12394	289	52	)	)	PUNCT
fumecheng-12394	289	53	,	,	PUNCT
fumecheng-12394	289	54	cos	cos	PROPN
fumecheng-12394	289	55	n	n	CCONJ
fumecheng-12394	289	56	n	n	CCONJ
fumecheng-12394	289	57	n	n	CCONJ
fumecheng-12394	289	58	n	n	ADV
fumecheng-12394	289	59	pt	pt	INTJ
fumecheng-12394	289	60	m	m	NOUN
fumecheng-12394	289	61	m	m	VERB
fumecheng-12394	289	62	m	m	VERB
fumecheng-12394	289	63	m	m	VERB
fumecheng-12394	289	64	l	l	ADJ
fumecheng-12394	289	65	kz	kz	NOUN
fumecheng-12394	290	1	dk	dk	PROPN
fumecheng-12394	290	2	r	r	NOUN
fumecheng-12394	290	3	k	k	PROPN
fumecheng-12394	290	4	p	p	X
fumecheng-12394	290	5	e	e	X
fumecheng-12394	290	6	dp	dp	PROPN
fumecheng-12394	290	7	kz	kz	PROPN
fumecheng-12394	290	8			PROPN
fumecheng-12394	290	9			PROPN
fumecheng-12394	290	10			PROPN
fumecheng-12394	290	11	=	=	PROPN
fumecheng-12394	290	12			PROPN
fumecheng-12394	290	13			PROPN
fumecheng-12394	290	14	−	−	PROPN
fumecheng-12394	290	15			PROPN
fumecheng-12394	290	16			X
fumecheng-12394	290	17			PUNCT
fumecheng-12394	291	1			X
fumecheng-12394	292	1			NUM
fumecheng-12394	292	2			NOUN
fumecheng-12394	292	3			NOUN
fumecheng-12394	292	4			PROPN
fumecheng-12394	292	5			X
fumecheng-12394	292	6	(	(	PUNCT
fumecheng-12394	292	7	21	21	NUM
fumecheng-12394	292	8	)	)	PUNCT
fumecheng-12394	292	9	similarly	similarly	ADV
fumecheng-12394	292	10	to	to	ADP
fumecheng-12394	292	11	eqs	eqs	PROPN
fumecheng-12394	292	12	.	.	PUNCT
fumecheng-12394	292	13	(	(	PUNCT
fumecheng-12394	292	14	18	18	NUM
fumecheng-12394	292	15	)	)	PUNCT
fumecheng-12394	292	16	and	and	CCONJ
fumecheng-12394	292	17	(	(	PUNCT
fumecheng-12394	292	18	19	19	NUM
fumecheng-12394	292	19	)	)	PUNCT
fumecheng-12394	292	20	,	,	PUNCT
fumecheng-12394	292	21	we	we	PRON
fumecheng-12394	292	22	express	express	VERB
fumecheng-12394	292	23	eq	eq	ADP
fumecheng-12394	292	24	.	.	PUNCT
fumecheng-12394	293	1	(	(	PUNCT
fumecheng-12394	293	2	15	15	NUM
fumecheng-12394	293	3	)	)	PUNCT
fumecheng-12394	293	4	in	in	ADP
fumecheng-12394	293	5	terms	term	NOUN
fumecheng-12394	293	6	of	of	ADP
fumecheng-12394	293	7	the	the	DET
fumecheng-12394	293	8	main	main	ADJ
fumecheng-12394	293	9	parts	part	NOUN
fumecheng-12394	293	10	of	of	ADP
fumecheng-12394	293	11	the	the	DET
fumecheng-12394	293	12	transformed	transform	VERB
fumecheng-12394	293	13	longitudinal	longitudinal	ADJ
fumecheng-12394	293	14	0,0	0,0	NUM
fumecheng-12394	293	15	0,1,u	0,1,u	NOUN
fumecheng-12394	293	16	u	u	NOUN
fumecheng-12394	293	17	and	and	CCONJ
fumecheng-12394	293	18	radial	radial	ADJ
fumecheng-12394	293	19	0,0	0,0	NUM
fumecheng-12394	293	20	0,1,w	0,1,w	NOUN
fumecheng-12394	293	21	w	w	NOUN
fumecheng-12394	293	22	displacements	displacement	NOUN
fumecheng-12394	293	23	.	.	PUNCT
fumecheng-12394	294	1	limiting	limit	VERB
fumecheng-12394	294	2	ourselves	ourselves	PRON
fumecheng-12394	294	3	to	to	ADP
fumecheng-12394	294	4	the	the	DET
fumecheng-12394	294	5	first	first	ADJ
fumecheng-12394	294	6	approximations	approximation	NOUN
fumecheng-12394	294	7	of	of	ADP
fumecheng-12394	294	8	(	(	PUNCT
fumecheng-12394	294	9	n=0	n=0	NUM
fumecheng-12394	294	10	)	)	PUNCT
fumecheng-12394	294	11	in	in	ADP
fumecheng-12394	294	12	infinite	infinite	ADJ
fumecheng-12394	294	13	series	series	NOUN
fumecheng-12394	294	14	in	in	ADP
fumecheng-12394	294	15	the	the	DET
fumecheng-12394	294	16	obtained	obtain	VERB
fumecheng-12394	294	17	equations	equation	NOUN
fumecheng-12394	294	18	and	and	CCONJ
fumecheng-12394	294	19	applying	apply	VERB
fumecheng-12394	294	20	operators	operator	NOUN
fumecheng-12394	294	21	given	give	VERB
fumecheng-12394	294	22	in	in	ADP
fumecheng-12394	294	23	eqs	eqs	PROPN
fumecheng-12394	294	24	.	.	PUNCT
fumecheng-12394	295	1	(	(	PUNCT
fumecheng-12394	295	2	20	20	NUM
fumecheng-12394	295	3	)	)	PUNCT
fumecheng-12394	295	4	and	and	CCONJ
fumecheng-12394	295	5	(	(	PUNCT
fumecheng-12394	295	6	21	21	NUM
fumecheng-12394	295	7	)	)	PUNCT
fumecheng-12394	295	8	to	to	ADP
fumecheng-12394	295	9	them	they	PRON
fumecheng-12394	295	10	,	,	PUNCT
fumecheng-12394	295	11	we	we	PRON
fumecheng-12394	295	12	obtain	obtain	VERB
fumecheng-12394	295	13	:	:	PUNCT
fumecheng-12394	295	14	1	1	NUM
fumecheng-12394	295	15	0,0	0,0	NUM
fumecheng-12394	295	16	0,1(0	0,1(0	NUM
fumecheng-12394	295	17	)	)	PUNCT
fumecheng-12394	295	18	1	1	NUM
fumecheng-12394	295	19	2	2	NUM
fumecheng-12394	295	20	0,0	0,0	NUM
fumecheng-12394	295	21	1	1	NUM
fumecheng-12394	295	22	3,0	3,0	NUM
fumecheng-12394	295	23	2	2	NUM
fumecheng-12394	295	24	2	2	NUM
fumecheng-12394	295	25	2	2	NUM
fumecheng-12394	295	26	2	2	NUM
fumecheng-12394	295	27	(	(	PUNCT
fumecheng-12394	295	28	0	0	NUM
fumecheng-12394	295	29	)	)	PUNCT
fumecheng-12394	295	30	1	1	NUM
fumecheng-12394	295	31	(	(	PUNCT
fumecheng-12394	295	32	)	)	PUNCT
fumecheng-12394	295	33	2	2	NUM
fumecheng-12394	295	34	2	2	NUM
fumecheng-12394	295	35	0	0	NUM
fumecheng-12394	295	36	0,12	0,12	NUM
fumecheng-12394	295	37	2	2	NUM
fumecheng-12394	295	38	2	2	NUM
fumecheng-12394	295	39	2	2	NUM
fumecheng-12394	295	40	(	(	PUNCT
fumecheng-12394	295	41	)	)	PUNCT
fumecheng-12394	295	42	ln	ln	ADV
fumecheng-12394	295	43	2	2	NUM
fumecheng-12394	295	44	(	(	PUNCT
fumecheng-12394	295	45	1	1	NUM
fumecheng-12394	295	46	)	)	PUNCT
fumecheng-12394	295	47	ln	ln	NOUN
fumecheng-12394	295	48	(	(	PUNCT
fumecheng-12394	295	49	,	,	PUNCT
fumecheng-12394	295	50	)	)	PUNCT
fumecheng-12394	295	51	(	(	PUNCT
fumecheng-12394	295	52	)	)	PUNCT
fumecheng-12394	296	1	i	i	PRON
fumecheng-12394	296	2	i	i	PRON
fumecheng-12394	297	1	i	i	PRON
fumecheng-12394	297	2	i	i	PRON
fumecheng-12394	298	1	i	i	PRON
fumecheng-12394	299	1	i	i	PRON
fumecheng-12394	299	2	ii	ii	VERB
fumecheng-12394	300	1	i	i	PRON
fumecheng-12394	300	2	i	i	PRON
fumecheng-12394	301	1	i	i	VERB
fumecheng-12394	301	2	r	r	VERB
fumecheng-12394	302	1	i	i	PRON
fumecheng-12394	302	2	u	u	INTJ
fumecheng-12394	302	3	ur	ur	INTJ
fumecheng-12394	302	4	g	g	PROPN
fumecheng-12394	302	5	g	g	PROPN
fumecheng-12394	302	6	w	w	PROPN
fumecheng-12394	302	7	g	g	PROPN
fumecheng-12394	302	8	r	r	NOUN
fumecheng-12394	302	9	g	g	NOUN
fumecheng-12394	302	10	q	q	PROPN
fumecheng-12394	302	11	z	z	NOUN
fumecheng-12394	302	12	z	z	NOUN
fumecheng-12394	303	1	r	r	NOUN
fumecheng-12394	303	2	r	r	NOUN
fumecheng-12394	303	3	g	g	NOUN
fumecheng-12394	303	4	q	q	NOUN
fumecheng-12394	303	5	w	w	NOUN
fumecheng-12394	303	6	r	r	NOUN
fumecheng-12394	303	7	f	f	PROPN
fumecheng-12394	303	8	z	z	NOUN
fumecheng-12394	303	9	t	t	PROPN
fumecheng-12394	303	10	r	r	NOUN
fumecheng-12394	303	11	a	a	DET
fumecheng-12394	303	12	b	b	PROPN
fumecheng-12394	303	13	z	z	NOUN
fumecheng-12394	303	14	−	−	PROPN
fumecheng-12394	303	15			PROPN
fumecheng-12394	303	16			ADJ
fumecheng-12394	303	17			NOUN
fumecheng-12394	303	18	−	−	PROPN
fumecheng-12394	304	1	+	+	CCONJ
fumecheng-12394	305	1	+	+	CCONJ
fumecheng-12394	305	2	−	−	NOUN
fumecheng-12394	305	3	−	−	PUNCT
fumecheng-12394	306	1			PROPN
fumecheng-12394	306	2			PROPN
fumecheng-12394	306	3			PROPN
fumecheng-12394	306	4			PROPN
fumecheng-12394	306	5			PROPN
fumecheng-12394	306	6			PROPN
fumecheng-12394	306	7			VERB
fumecheng-12394	306	8			NOUN
fumecheng-12394	306	9			NOUN
fumecheng-12394	306	10	−	−	PROPN
fumecheng-12394	307	1	+	+	CCONJ
fumecheng-12394	307	2	+	+	PUNCT
fumecheng-12394	307	3	=	=	SYM
fumecheng-12394	307	4	−	−	ADV
fumecheng-12394	307	5			VERB
fumecheng-12394	307	6			ADJ
fumecheng-12394	307	7			PROPN
fumecheng-12394	307	8			ADP
fumecheng-12394	307	9			NOUN
fumecheng-12394	307	10			PROPN
fumecheng-12394	307	11			PROPN
fumecheng-12394	307	12			VERB
fumecheng-12394	307	13			PROPN
fumecheng-12394	307	14			NOUN
fumecheng-12394	307	15			NOUN
fumecheng-12394	307	16			NUM
fumecheng-12394	307	17			PRON
fumecheng-12394	307	18			VERB
fumecheng-12394	307	19			ADJ
fumecheng-12394	307	20			ADJ
fumecheng-12394	307	21			NOUN
fumecheng-12394	307	22	(	(	PUNCT
fumecheng-12394	307	23	22	22	NUM
fumecheng-12394	307	24	)	)	SYM
fumecheng-12394	307	25	2	2	NUM
fumecheng-12394	307	26	2	2	NUM
fumecheng-12394	307	27	0,0	0,0	NOUN
fumecheng-12394	307	28	(	(	PUNCT
fumecheng-12394	307	29	0	0	NUM
fumecheng-12394	307	30	)	)	PUNCT
fumecheng-12394	307	31	3	3	NUM
fumecheng-12394	307	32	0,0	0,0	NUM
fumecheng-12394	307	33	4	4	NUM
fumecheng-12394	307	34	3	3	NUM
fumecheng-12394	307	35	3,0	3,0	NUM
fumecheng-12394	307	36	4	4	NUM
fumecheng-12394	307	37	2	2	NUM
fumecheng-12394	307	38	0,12	0,12	NUM
fumecheng-12394	307	39	2	2	NUM
fumecheng-12394	307	40	2	2	NUM
fumecheng-12394	307	41	0,1(0	0,1(0	NOUN
fumecheng-12394	307	42	)	)	PUNCT
fumecheng-12394	307	43	1	1	NUM
fumecheng-12394	307	44	(	(	PUNCT
fumecheng-12394	307	45	)	)	PUNCT
fumecheng-12394	307	46	4	4	NUM
fumecheng-12394	307	47	2	2	NUM
fumecheng-12394	307	48	0	0	NUM
fumecheng-12394	307	49	2	2	NUM
fumecheng-12394	307	50	3	3	NUM
fumecheng-12394	307	51	3	3	NUM
fumecheng-12394	307	52	2	2	NUM
fumecheng-12394	307	53	(	(	PUNCT
fumecheng-12394	307	54	)	)	PUNCT
fumecheng-12394	308	1	ln	ln	ADV
fumecheng-12394	308	2	42	42	NUM
fumecheng-12394	308	3	(	(	PUNCT
fumecheng-12394	308	4	1	1	NUM
fumecheng-12394	308	5	)	)	PUNCT
fumecheng-12394	308	6	ln	ln	NOUN
fumecheng-12394	308	7	(	(	PUNCT
fumecheng-12394	308	8	,	,	PUNCT
fumecheng-12394	308	9	)	)	PUNCT
fumecheng-12394	308	10	,	,	PUNCT
fumecheng-12394	308	11	(	(	PUNCT
fumecheng-12394	308	12	)	)	PUNCT
fumecheng-12394	309	1	i	i	PRON
fumecheng-12394	309	2	i	i	PRON
fumecheng-12394	310	1	i	i	PRON
fumecheng-12394	310	2	i	i	PRON
fumecheng-12394	311	1	i	i	PRON
fumecheng-12394	312	1	i	i	PRON
fumecheng-12394	312	2	ii	ii	VERB
fumecheng-12394	313	1	i	i	PRON
fumecheng-12394	313	2	i	i	PRON
fumecheng-12394	314	1	i	i	PRON
fumecheng-12394	314	2	rz	rz	VERB
fumecheng-12394	315	1	i	i	PRON
fumecheng-12394	315	2	w	w	VERB
fumecheng-12394	315	3	r	r	NOUN
fumecheng-12394	315	4	g	g	NOUN
fumecheng-12394	315	5	u	u	NOUN
fumecheng-12394	315	6	g	g	NOUN
fumecheng-12394	315	7	g	g	NOUN
fumecheng-12394	315	8	r	r	NOUN
fumecheng-12394	315	9	g	g	PROPN
fumecheng-12394	315	10	q	q	X
fumecheng-12394	315	11	u	u	NOUN
fumecheng-12394	315	12	z	z	PROPN
fumecheng-12394	315	13	z	z	NOUN
fumecheng-12394	315	14	wr	wr	NOUN
fumecheng-12394	315	15	r	r	NOUN
fumecheng-12394	315	16	g	g	NOUN
fumecheng-12394	315	17	q	q	NOUN
fumecheng-12394	315	18	r	r	NOUN
fumecheng-12394	315	19	f	f	NOUN
fumecheng-12394	315	20	z	z	PROPN
fumecheng-12394	315	21	t	t	PROPN
fumecheng-12394	315	22	zr	zr	PROPN
fumecheng-12394	315	23	a	a	DET
fumecheng-12394	315	24	b	b	PROPN
fumecheng-12394	315	25	z	z	NOUN
fumecheng-12394	315	26	−	−	PROPN
fumecheng-12394	315	27			ADJ
fumecheng-12394	315	28			PRON
fumecheng-12394	315	29			NOUN
fumecheng-12394	315	30	−	−	PROPN
fumecheng-12394	315	31	−	−	PROPN
fumecheng-12394	316	1	+	+	CCONJ
fumecheng-12394	316	2	+	+	ADJ
fumecheng-12394	316	3			NOUN
fumecheng-12394	316	4			ADJ
fumecheng-12394	316	5			PROPN
fumecheng-12394	316	6			PROPN
fumecheng-12394	316	7			PROPN
fumecheng-12394	316	8			PROPN
fumecheng-12394	316	9			NOUN
fumecheng-12394	316	10			INTJ
fumecheng-12394	316	11			NOUN
fumecheng-12394	316	12			NOUN
fumecheng-12394	317	1	+	+	PUNCT
fumecheng-12394	318	1	+	+	PUNCT
fumecheng-12394	318	2	+	+	CCONJ
fumecheng-12394	318	3	=	=	SYM
fumecheng-12394	318	4	−	−	ADV
fumecheng-12394	318	5			VERB
fumecheng-12394	318	6			ADJ
fumecheng-12394	318	7			PROPN
fumecheng-12394	318	8			PROPN
fumecheng-12394	318	9			VERB
fumecheng-12394	318	10			NOUN
fumecheng-12394	318	11			PROPN
fumecheng-12394	318	12			PROPN
fumecheng-12394	318	13			VERB
fumecheng-12394	318	14			PROPN
fumecheng-12394	318	15			NOUN
fumecheng-12394	318	16			NOUN
fumecheng-12394	318	17			NUM
fumecheng-12394	318	18			PRON
fumecheng-12394	318	19			VERB
fumecheng-12394	318	20			ADJ
fumecheng-12394	318	21			ADJ
fumecheng-12394	318	22			NOUN
fumecheng-12394	318	23	(	(	PUNCT
fumecheng-12394	318	24	23	23	NUM
fumecheng-12394	318	25	)	)	PUNCT
fumecheng-12394	318	26	480	480	NUM
fumecheng-12394	319	1	kh	kh	PROPN
fumecheng-12394	319	2	.	.	PUNCT
fumecheng-12394	319	3	khudoynazarov	khudoynazarov	PROPN
fumecheng-12394	319	4	based	base	VERB
fumecheng-12394	319	5	on	on	ADP
fumecheng-12394	319	6	eqs	eqs	PROPN
fumecheng-12394	319	7	.	.	PUNCT
fumecheng-12394	320	1	(	(	PUNCT
fumecheng-12394	320	2	7	7	X
fumecheng-12394	320	3	)	)	PUNCT
fumecheng-12394	320	4	for	for	ADP
fumecheng-12394	320	5	the	the	DET
fumecheng-12394	320	6	values	value	NOUN
fumecheng-12394	320	7	αm	αm	ADV
fumecheng-12394	320	8	and	and	CCONJ
fumecheng-12394	320	9	βm	βm	VERB
fumecheng-12394	320	10	(	(	PUNCT
fumecheng-12394	320	11	m=0,1,2	m=0,1,2	NUM
fumecheng-12394	320	12	)	)	PUNCT
fumecheng-12394	320	13	,	,	PUNCT
fumecheng-12394	320	14	it	it	PRON
fumecheng-12394	320	15	is	be	AUX
fumecheng-12394	320	16	easy	easy	ADJ
fumecheng-12394	320	17	to	to	PART
fumecheng-12394	320	18	show	show	VERB
fumecheng-12394	320	19	that	that	SCONJ
fumecheng-12394	320	20	the	the	DET
fumecheng-12394	320	21	operators	operator	NOUN
fumecheng-12394	320	22	n	n	PRON
fumecheng-12394	320	23	m	m	NOUN
fumecheng-12394	320	24	and	and	CCONJ
fumecheng-12394	320	25	n	n	PRON
fumecheng-12394	320	26	m	m	PROPN
fumecheng-12394	320	27	,	,	PUNCT
fumecheng-12394	320	28	m=0,1,2	m=0,1,2	NUM
fumecheng-12394	320	29	;	;	PUNCT
fumecheng-12394	320	30	n=0,1,2	n=0,1,2	NUM
fumecheng-12394	320	31	,	,	PUNCT
fumecheng-12394	320	32	…	…	PUNCT
fumecheng-12394	320	33	introduced	introduce	VERB
fumecheng-12394	320	34	by	by	ADP
fumecheng-12394	320	35	eqs	eqs	PROPN
fumecheng-12394	320	36	.	.	PUNCT
fumecheng-12394	320	37	(	(	PUNCT
fumecheng-12394	320	38	21	21	NUM
fumecheng-12394	320	39	)	)	PUNCT
fumecheng-12394	320	40	during	during	ADP
fumecheng-12394	320	41	the	the	DET
fumecheng-12394	320	42	reverse	reverse	ADJ
fumecheng-12394	320	43	transition	transition	NOUN
fumecheng-12394	320	44	along	along	ADP
fumecheng-12394	320	45	coordinate	coordinate	NOUN
fumecheng-12394	320	46	z	z	NOUN
fumecheng-12394	320	47	and	and	CCONJ
fumecheng-12394	320	48	time	time	NOUN
fumecheng-12394	320	49	t	t	PROPN
fumecheng-12394	320	50	have	have	VERB
fumecheng-12394	320	51	the	the	DET
fumecheng-12394	320	52	following	follow	VERB
fumecheng-12394	320	53	form	form	NOUN
fumecheng-12394	320	54	:	:	PUNCT
fumecheng-12394	320	55	2	2	NUM
fumecheng-12394	320	56	2	2	NUM
fumecheng-12394	320	57	2	2	NUM
fumecheng-12394	320	58	2	2	NUM
fumecheng-12394	320	59	1	1	NUM
fumecheng-12394	320	60	1	1	NUM
fumecheng-12394	320	61	2	2	NUM
fumecheng-12394	320	62	2	2	NUM
fumecheng-12394	320	63	2	2	NUM
fumecheng-12394	320	64	2	2	NUM
fumecheng-12394	320	65	(	(	PUNCT
fumecheng-12394	320	66	)	)	PUNCT
fumecheng-12394	320	67	,	,	PUNCT
fumecheng-12394	320	68	(	(	PUNCT
fumecheng-12394	320	69	)	)	PUNCT
fumecheng-12394	320	70	0,1,2	0,1,2	NUM
fumecheng-12394	320	71	;	;	PUNCT
fumecheng-12394	320	72	1,2,3	1,2,3	NUM
fumecheng-12394	320	73	,	,	PUNCT
fumecheng-12394	320	74	...	...	PUNCT
fumecheng-12394	321	1	m	m	VERB
fumecheng-12394	321	2	n	n	VERB
fumecheng-12394	321	3	n	n	CCONJ
fumecheng-12394	321	4	n	n	CCONJ
fumecheng-12394	321	5	n	n	ADV
fumecheng-12394	321	6	m	m	VERB
fumecheng-12394	321	7	m	m	VERB
fumecheng-12394	321	8	m	m	VERB
fumecheng-12394	321	9	m	m	VERB
fumecheng-12394	321	10	mr	mr	PROPN
fumecheng-12394	321	11	r	r	PROPN
fumecheng-12394	321	12	t	t	PROPN
fumecheng-12394	321	13	z	z	PROPN
fumecheng-12394	321	14	t	t	PROPN
fumecheng-12394	321	15	z	z	NOUN
fumecheng-12394	321	16	m	m	VERB
fumecheng-12394	321	17	n	n	ADV
fumecheng-12394	321	18	−	−	NOUN
fumecheng-12394	322	1	−	−	PROPN
fumecheng-12394	323	1			PROPN
fumecheng-12394	323	2			NOUN
fumecheng-12394	324	1			PROPN
fumecheng-12394	324	2			PROPN
fumecheng-12394	324	3			PROPN
fumecheng-12394	324	4			NOUN
fumecheng-12394	324	5			NOUN
fumecheng-12394	324	6			ADJ
fumecheng-12394	324	7			ADJ
fumecheng-12394	324	8			PROPN
fumecheng-12394	324	9	=	=	SYM
fumecheng-12394	325	1	−	−	PROPN
fumecheng-12394	325	2	=	=	SYM
fumecheng-12394	325	3	−	−	X
fumecheng-12394	325	4			PROPN
fumecheng-12394	325	5			NOUN
fumecheng-12394	325	6			NOUN
fumecheng-12394	325	7			PROPN
fumecheng-12394	326	1			PROPN
fumecheng-12394	326	2			PROPN
fumecheng-12394	326	3			ADJ
fumecheng-12394	326	4			ADJ
fumecheng-12394	326	5			PROPN
fumecheng-12394	326	6			VERB
fumecheng-12394	326	7			PROPN
fumecheng-12394	326	8			NOUN
fumecheng-12394	326	9			NOUN
fumecheng-12394	326	10			NOUN
fumecheng-12394	327	1			PROPN
fumecheng-12394	327	2			PROPN
fumecheng-12394	327	3			PROPN
fumecheng-12394	327	4			VERB
fumecheng-12394	327	5			PROPN
fumecheng-12394	327	6	=	=	PUNCT
fumecheng-12394	327	7	=	=	PUNCT
fumecheng-12394	328	1			NOUN
fumecheng-12394	328	2			X
fumecheng-12394	328	3			NOUN
fumecheng-12394	329	1			X
fumecheng-12394	329	2			X
fumecheng-12394	330	1			NUM
fumecheng-12394	330	2			X
fumecheng-12394	330	3			ADP
fumecheng-12394	330	4			PROPN
fumecheng-12394	330	5			X
fumecheng-12394	330	6			X
fumecheng-12394	330	7	(	(	PUNCT
fumecheng-12394	330	8	24	24	NUM
fumecheng-12394	330	9	)	)	PUNCT
fumecheng-12394	330	10	the	the	DET
fumecheng-12394	330	11	system	system	NOUN
fumecheng-12394	330	12	of	of	ADP
fumecheng-12394	330	13	eqs	eqs	PROPN
fumecheng-12394	330	14	.	.	PUNCT
fumecheng-12394	331	1	(	(	PUNCT
fumecheng-12394	331	2	22	22	NUM
fumecheng-12394	331	3	)	)	PUNCT
fumecheng-12394	331	4	and	and	CCONJ
fumecheng-12394	331	5	(	(	PUNCT
fumecheng-12394	331	6	23	23	NUM
fumecheng-12394	331	7	)	)	PUNCT
fumecheng-12394	331	8	,	,	PUNCT
fumecheng-12394	331	9	in	in	ADP
fumecheng-12394	331	10	accordance	accordance	NOUN
fumecheng-12394	331	11	with	with	ADP
fumecheng-12394	331	12	eqs	eqs	PROPN
fumecheng-12394	331	13	.	.	PUNCT
fumecheng-12394	332	1	(	(	PUNCT
fumecheng-12394	332	2	21	21	NUM
fumecheng-12394	332	3	)	)	PUNCT
fumecheng-12394	332	4	for	for	ADP
fumecheng-12394	332	5	operators	operator	NOUN
fumecheng-12394	332	6	n	n	PRON
fumecheng-12394	332	7	m	m	PROPN
fumecheng-12394	332	8	,	,	PUNCT
fumecheng-12394	332	9	m=0,1,2	m=0,1,2	NUM
fumecheng-12394	332	10	;	;	PUNCT
fumecheng-12394	332	11	n=0,1,2	n=0,1,2	NUM
fumecheng-12394	332	12	,	,	PUNCT
fumecheng-12394	332	13	…	…	PUNCT
fumecheng-12394	332	14	are	be	AUX
fumecheng-12394	332	15	integro	integro	ADJ
fumecheng-12394	332	16	-	-	PUNCT
fumecheng-12394	332	17	differential	differential	NOUN
fumecheng-12394	332	18	equations	equation	NOUN
fumecheng-12394	332	19	.	.	PUNCT
fumecheng-12394	333	1	these	these	DET
fumecheng-12394	333	2	equations	equation	NOUN
fumecheng-12394	333	3	contain	contain	VERB
fumecheng-12394	333	4	the	the	DET
fumecheng-12394	333	5	main	main	ADJ
fumecheng-12394	333	6	parts	part	NOUN
fumecheng-12394	333	7	u0,0	u0,0	NOUN
fumecheng-12394	333	8	,	,	PUNCT
fumecheng-12394	333	9	u0,1	u0,1	NOUN
fumecheng-12394	333	10	and	and	CCONJ
fumecheng-12394	333	11	w0,0	w0,0	PROPN
fumecheng-12394	333	12	,	,	PUNCT
fumecheng-12394	333	13	w0,1	w0,1	PROPN
fumecheng-12394	333	14	,	,	PUNCT
fumecheng-12394	333	15	respectively	respectively	ADV
fumecheng-12394	333	16	,	,	PUNCT
fumecheng-12394	333	17	longitudinal	longitudinal	ADJ
fumecheng-12394	333	18	–	–	PUNCT
fumecheng-12394	333	19	u0	u0	ADJ
fumecheng-12394	333	20	and	and	CCONJ
fumecheng-12394	333	21	radial	radial	ADJ
fumecheng-12394	333	22	–	–	PUNCT
fumecheng-12394	333	23	w0	w0	NOUN
fumecheng-12394	333	24	displacements	displacement	NOUN
fumecheng-12394	333	25	of	of	ADP
fumecheng-12394	333	26	points	point	NOUN
fumecheng-12394	333	27	of	of	ADP
fumecheng-12394	333	28	some	some	DET
fumecheng-12394	333	29	“	"	PUNCT
fumecheng-12394	333	30	intermediate	intermediate	ADJ
fumecheng-12394	333	31	”	"	PUNCT
fumecheng-12394	333	32	surface	surface	NOUN
fumecheng-12394	333	33	of	of	ADP
fumecheng-12394	333	34	the	the	DET
fumecheng-12394	333	35	middle	middle	ADJ
fumecheng-12394	333	36	layer	layer	NOUN
fumecheng-12394	333	37	of	of	ADP
fumecheng-12394	333	38	a	a	DET
fumecheng-12394	333	39	three	three	NUM
fumecheng-12394	333	40	-	-	PUNCT
fumecheng-12394	333	41	layer	layer	NOUN
fumecheng-12394	333	42	cylindrical	cylindrical	ADJ
fumecheng-12394	333	43	structure	structure	NOUN
fumecheng-12394	333	44	.	.	PUNCT
fumecheng-12394	334	1	the	the	DET
fumecheng-12394	334	2	specified	specified	ADJ
fumecheng-12394	334	3	“	"	PUNCT
fumecheng-12394	334	4	intermediate	intermediate	ADJ
fumecheng-12394	334	5	”	"	PUNCT
fumecheng-12394	334	6	surface	surface	NOUN
fumecheng-12394	334	7	has	have	VERB
fumecheng-12394	334	8	a	a	DET
fumecheng-12394	334	9	radius	radius	NOUN
fumecheng-12394	334	10	,	,	PUNCT
fumecheng-12394	334	11	the	the	DET
fumecheng-12394	334	12	values	value	NOUN
fumecheng-12394	334	13	of	of	ADP
fumecheng-12394	334	14	which	which	PRON
fumecheng-12394	334	15	are	be	AUX
fumecheng-12394	334	16	enclosed	enclose	VERB
fumecheng-12394	334	17	in	in	ADP
fumecheng-12394	334	18	the	the	DET
fumecheng-12394	334	19	range	range	NOUN
fumecheng-12394	334	20	r1	r1	NOUN
fumecheng-12394	334	21	≤	≤	NUM
fumecheng-12394	334	22	ξ	ξ	PRON
fumecheng-12394	334	23	≤	≤	ADJ
fumecheng-12394	334	24	r2	r2	NOUN
fumecheng-12394	334	25	in	in	ADP
fumecheng-12394	334	26	accordance	accordance	NOUN
fumecheng-12394	334	27	with	with	ADP
fumecheng-12394	334	28	the	the	DET
fumecheng-12394	334	29	numerical	numerical	ADJ
fumecheng-12394	334	30	values	value	NOUN
fumecheng-12394	334	31	of	of	ADP
fumecheng-12394	334	32	radius	radius	PROPN
fumecheng-12394	334	33	ξ	ξ	PROPN
fumecheng-12394	334	34	,	,	PUNCT
fumecheng-12394	334	35	this	this	DET
fumecheng-12394	334	36	“	"	PUNCT
fumecheng-12394	334	37	intermediate	intermediate	ADJ
fumecheng-12394	334	38	”	"	PUNCT
fumecheng-12394	334	39	surface	surface	NOUN
fumecheng-12394	334	40	can	can	AUX
fumecheng-12394	334	41	turn	turn	VERB
fumecheng-12394	334	42	into	into	ADP
fumecheng-12394	334	43	a	a	DET
fumecheng-12394	334	44	median	median	ADJ
fumecheng-12394	334	45	surface	surface	NOUN
fumecheng-12394	334	46	at	at	ADP
fumecheng-12394	334	47	ξ	ξ	X
fumecheng-12394	334	48	=	=	PUNCT
fumecheng-12394	334	49	(	(	PUNCT
fumecheng-12394	334	50	r1+r2)/2	r1+r2)/2	NOUN
fumecheng-12394	334	51	and	and	CCONJ
fumecheng-12394	334	52	contact	contact	NOUN
fumecheng-12394	334	53	surfaces	surface	NOUN
fumecheng-12394	334	54	between	between	ADP
fumecheng-12394	334	55	layers	layer	NOUN
fumecheng-12394	334	56	of	of	ADP
fumecheng-12394	334	57	the	the	DET
fumecheng-12394	334	58	structure	structure	NOUN
fumecheng-12394	334	59	at	at	ADP
fumecheng-12394	334	60	ξ	ξ	X
fumecheng-12394	334	61	=	=	SYM
fumecheng-12394	334	62	r1	r1	PROPN
fumecheng-12394	334	63	and	and	CCONJ
fumecheng-12394	334	64	ξ	ξ	X
fumecheng-12394	334	65	=	=	SYM
fumecheng-12394	334	66	r2	r2	PROPN
fumecheng-12394	334	67	.	.	PUNCT
fumecheng-12394	335	1	therefore	therefore	ADV
fumecheng-12394	335	2	,	,	PUNCT
fumecheng-12394	335	3	the	the	DET
fumecheng-12394	335	4	equations	equation	NOUN
fumecheng-12394	335	5	are	be	AUX
fumecheng-12394	335	6	a	a	DET
fumecheng-12394	335	7	system	system	NOUN
fumecheng-12394	335	8	of	of	ADP
fumecheng-12394	335	9	eqs	eqs	PROPN
fumecheng-12394	335	10	.	.	PUNCT
fumecheng-12394	336	1	(	(	PUNCT
fumecheng-12394	336	2	22	22	NUM
fumecheng-12394	336	3	)	)	PUNCT
fumecheng-12394	336	4	and	and	CCONJ
fumecheng-12394	336	5	(	(	PUNCT
fumecheng-12394	336	6	23	23	NUM
fumecheng-12394	336	7	)	)	PUNCT
fumecheng-12394	336	8	depending	depend	VERB
fumecheng-12394	336	9	on	on	ADP
fumecheng-12394	336	10	the	the	DET
fumecheng-12394	336	11	values	value	NOUN
fumecheng-12394	336	12	of	of	ADP
fumecheng-12394	336	13	the	the	DET
fumecheng-12394	336	14	radius	radius	NOUN
fumecheng-12394	336	15	ξ	ξ	PROPN
fumecheng-12394	336	16	.	.	PUNCT
fumecheng-12394	337	1	the	the	DET
fumecheng-12394	337	2	equations	equation	NOUN
fumecheng-12394	337	3	of	of	ADP
fumecheng-12394	337	4	vibration	vibration	NOUN
fumecheng-12394	337	5	of	of	ADP
fumecheng-12394	337	6	a	a	DET
fumecheng-12394	337	7	three	three	NUM
fumecheng-12394	337	8	-	-	PUNCT
fumecheng-12394	337	9	layer	layer	NOUN
fumecheng-12394	337	10	cylindrical	cylindrical	ADJ
fumecheng-12394	337	11	structure	structure	NOUN
fumecheng-12394	337	12	relative	relative	ADJ
fumecheng-12394	337	13	to	to	ADP
fumecheng-12394	337	14	the	the	DET
fumecheng-12394	337	15	main	main	ADJ
fumecheng-12394	337	16	parts	part	NOUN
fumecheng-12394	337	17	of	of	ADP
fumecheng-12394	337	18	the	the	DET
fumecheng-12394	337	19	longitudinal	longitudinal	ADJ
fumecheng-12394	337	20	and	and	CCONJ
fumecheng-12394	337	21	radial	radial	ADJ
fumecheng-12394	337	22	displacements	displacement	NOUN
fumecheng-12394	337	23	of	of	ADP
fumecheng-12394	337	24	the	the	DET
fumecheng-12394	337	25	points	point	NOUN
fumecheng-12394	337	26	of	of	ADP
fumecheng-12394	337	27	the	the	DET
fumecheng-12394	337	28	median	median	ADJ
fumecheng-12394	337	29	or	or	CCONJ
fumecheng-12394	337	30	contact	contact	NOUN
fumecheng-12394	337	31	surfaces	surface	NOUN
fumecheng-12394	337	32	of	of	ADP
fumecheng-12394	337	33	the	the	DET
fumecheng-12394	337	34	median	median	ADJ
fumecheng-12394	337	35	layer	layer	NOUN
fumecheng-12394	337	36	can	can	AUX
fumecheng-12394	337	37	be	be	AUX
fumecheng-12394	337	38	.	.	PUNCT
fumecheng-12394	338	1	these	these	DET
fumecheng-12394	338	2	equations	equation	NOUN
fumecheng-12394	338	3	,	,	PUNCT
fumecheng-12394	338	4	in	in	ADP
fumecheng-12394	338	5	the	the	DET
fumecheng-12394	338	6	absence	absence	NOUN
fumecheng-12394	338	7	of	of	ADP
fumecheng-12394	338	8	external	external	ADJ
fumecheng-12394	338	9	layers	layer	NOUN
fumecheng-12394	338	10	,	,	PUNCT
fumecheng-12394	338	11	are	be	AUX
fumecheng-12394	338	12	general	general	ADJ
fumecheng-12394	338	13	equations	equation	NOUN
fumecheng-12394	338	14	of	of	ADP
fumecheng-12394	338	15	longitudinalradial	longitudinalradial	ADJ
fumecheng-12394	338	16	vibrations	vibration	NOUN
fumecheng-12394	338	17	[	[	X
fumecheng-12394	338	18	19	19	NUM
fumecheng-12394	338	19	]	]	PUNCT
fumecheng-12394	338	20	of	of	ADP
fumecheng-12394	338	21	a	a	DET
fumecheng-12394	338	22	circular	circular	ADJ
fumecheng-12394	338	23	cylindrical	cylindrical	ADJ
fumecheng-12394	338	24	viscoelastic	viscoelastic	NOUN
fumecheng-12394	338	25	structure	structure	NOUN
fumecheng-12394	338	26	,	,	PUNCT
fumecheng-12394	338	27	relative	relative	ADJ
fumecheng-12394	338	28	to	to	ADP
fumecheng-12394	338	29	the	the	DET
fumecheng-12394	338	30	main	main	ADJ
fumecheng-12394	338	31	parts	part	NOUN
fumecheng-12394	338	32	of	of	ADP
fumecheng-12394	338	33	the	the	DET
fumecheng-12394	338	34	longitudinal	longitudinal	ADJ
fumecheng-12394	338	35	and	and	CCONJ
fumecheng-12394	338	36	radial	radial	ADJ
fumecheng-12394	338	37	displacements	displacement	NOUN
fumecheng-12394	338	38	of	of	ADP
fumecheng-12394	338	39	points	point	NOUN
fumecheng-12394	338	40	on	on	ADP
fumecheng-12394	338	41	the	the	DET
fumecheng-12394	338	42	intermediate	intermediate	ADJ
fumecheng-12394	338	43	surface	surface	NOUN
fumecheng-12394	338	44	of	of	ADP
fumecheng-12394	338	45	the	the	DET
fumecheng-12394	338	46	structure	structure	NOUN
fumecheng-12394	338	47	.	.	PUNCT
fumecheng-12394	339	1	in	in	ADP
fumecheng-12394	339	2	addition	addition	NOUN
fumecheng-12394	339	3	,	,	PUNCT
fumecheng-12394	339	4	eqs	eqs	X
fumecheng-12394	339	5	.	.	PUNCT
fumecheng-12394	339	6	(	(	PUNCT
fumecheng-12394	339	7	22	22	NUM
fumecheng-12394	339	8	)	)	PUNCT
fumecheng-12394	339	9	and	and	CCONJ
fumecheng-12394	339	10	(	(	PUNCT
fumecheng-12394	339	11	23	23	NUM
fumecheng-12394	339	12	)	)	PUNCT
fumecheng-12394	339	13	in	in	ADP
fumecheng-12394	339	14	their	their	PRON
fumecheng-12394	339	15	right	right	ADJ
fumecheng-12394	339	16	parts	part	NOUN
fumecheng-12394	339	17	correctly	correctly	ADV
fumecheng-12394	339	18	considering	consider	VERB
fumecheng-12394	339	19	the	the	DET
fumecheng-12394	339	20	forces	force	NOUN
fumecheng-12394	339	21	acting	act	VERB
fumecheng-12394	339	22	on	on	ADP
fumecheng-12394	339	23	the	the	DET
fumecheng-12394	339	24	outer	outer	ADJ
fumecheng-12394	339	25	and	and	CCONJ
fumecheng-12394	339	26	inner	inner	ADJ
fumecheng-12394	339	27	surfaces	surface	NOUN
fumecheng-12394	339	28	of	of	ADP
fumecheng-12394	339	29	the	the	DET
fumecheng-12394	339	30	three	three	NUM
fumecheng-12394	339	31	-	-	PUNCT
fumecheng-12394	339	32	layer	layer	NOUN
fumecheng-12394	339	33	structure	structure	NOUN
fumecheng-12394	339	34	,	,	PUNCT
fumecheng-12394	339	35	reflect	reflect	VERB
fumecheng-12394	339	36	(	(	PUNCT
fumecheng-12394	339	37	approximately	approximately	ADV
fumecheng-12394	339	38	)	)	PUNCT
fumecheng-12394	339	39	the	the	DET
fumecheng-12394	339	40	relationship	relationship	NOUN
fumecheng-12394	339	41	and	and	CCONJ
fumecheng-12394	339	42	mutual	mutual	ADJ
fumecheng-12394	339	43	influence	influence	NOUN
fumecheng-12394	339	44	of	of	ADP
fumecheng-12394	339	45	the	the	DET
fumecheng-12394	339	46	layers	layer	NOUN
fumecheng-12394	339	47	-	-	PUNCT
fumecheng-12394	339	48	through	through	ADP
fumecheng-12394	339	49	the	the	DET
fumecheng-12394	339	50	middle	middle	ADJ
fumecheng-12394	339	51	layer	layer	NOUN
fumecheng-12394	339	52	.	.	PUNCT
fumecheng-12394	340	1	it	it	PRON
fumecheng-12394	340	2	is	be	AUX
fumecheng-12394	340	3	not	not	PART
fumecheng-12394	340	4	difficult	difficult	ADJ
fumecheng-12394	340	5	to	to	PART
fumecheng-12394	340	6	see	see	VERB
fumecheng-12394	340	7	in	in	ADP
fumecheng-12394	340	8	these	these	DET
fumecheng-12394	340	9	equations	equation	NOUN
fumecheng-12394	340	10	the	the	DET
fumecheng-12394	340	11	dependence	dependence	NOUN
fumecheng-12394	340	12	on	on	ADP
fumecheng-12394	340	13	the	the	DET
fumecheng-12394	340	14	viscoelastic	viscoelastic	ADJ
fumecheng-12394	340	15	operators	operator	NOUN
fumecheng-12394	340	16	of	of	ADP
fumecheng-12394	340	17	m	m	PROPN
fumecheng-12394	340	18	r	r	NUM
fumecheng-12394	340	19	(	(	PUNCT
fumecheng-12394	340	20	m=0,1,2	m=0,1,2	NUM
fumecheng-12394	340	21	)	)	PUNCT
fumecheng-12394	340	22	layers	layer	NOUN
fumecheng-12394	340	23	.	.	PUNCT
fumecheng-12394	341	1	if	if	SCONJ
fumecheng-12394	341	2	specific	specific	ADJ
fumecheng-12394	341	3	kernels	kernel	NOUN
fumecheng-12394	341	4	km	km	NOUN
fumecheng-12394	341	5	and	and	CCONJ
fumecheng-12394	341	6	m	m	PRON
fumecheng-12394	341	7	k	k	NOUN
fumecheng-12394	341	8	are	be	AUX
fumecheng-12394	341	9	given	give	VERB
fumecheng-12394	341	10	for	for	ADP
fumecheng-12394	341	11	viscoelastic	viscoelastic	ADJ
fumecheng-12394	341	12	layer	layer	NOUN
fumecheng-12394	341	13	material	material	NOUN
fumecheng-12394	341	14	operators	operator	NOUN
fumecheng-12394	341	15	,	,	PUNCT
fumecheng-12394	341	16	then	then	ADV
fumecheng-12394	341	17	it	it	PRON
fumecheng-12394	341	18	is	be	AUX
fumecheng-12394	341	19	not	not	PART
fumecheng-12394	341	20	difficult	difficult	ADJ
fumecheng-12394	341	21	to	to	PART
fumecheng-12394	341	22	transform	transform	VERB
fumecheng-12394	341	23	these	these	DET
fumecheng-12394	341	24	equations	equation	NOUN
fumecheng-12394	341	25	for	for	ADP
fumecheng-12394	341	26	specific	specific	ADJ
fumecheng-12394	341	27	shell	shell	NOUN
fumecheng-12394	341	28	layer	layer	NOUN
fumecheng-12394	341	29	materials	material	NOUN
fumecheng-12394	341	30	.	.	PUNCT
fumecheng-12394	342	1	note	note	VERB
fumecheng-12394	342	2	that	that	SCONJ
fumecheng-12394	342	3	the	the	DET
fumecheng-12394	342	4	operators	operator	NOUN
fumecheng-12394	342	5	given	give	VERB
fumecheng-12394	342	6	by	by	ADP
fumecheng-12394	342	7	eqs	eqs	PROPN
fumecheng-12394	342	8	.	.	PUNCT
fumecheng-12394	343	1	(	(	PUNCT
fumecheng-12394	343	2	22	22	NUM
fumecheng-12394	343	3	)	)	PUNCT
fumecheng-12394	343	4	and	and	CCONJ
fumecheng-12394	343	5	(	(	PUNCT
fumecheng-12394	343	6	23	23	NUM
fumecheng-12394	343	7	)	)	PUNCT
fumecheng-12394	343	8	are	be	AUX
fumecheng-12394	343	9	derived	derive	VERB
fumecheng-12394	343	10	for	for	ADP
fumecheng-12394	343	11	the	the	DET
fumecheng-12394	343	12	general	general	ADJ
fumecheng-12394	343	13	case	case	NOUN
fumecheng-12394	343	14	of	of	ADP
fumecheng-12394	343	15	arbitrary	arbitrary	ADJ
fumecheng-12394	343	16	operator	operator	NOUN
fumecheng-12394	343	17	kernels	kernel	NOUN
fumecheng-12394	343	18	m	m	VERB
fumecheng-12394	343	19	r	r	NUM
fumecheng-12394	343	20	(	(	PUNCT
fumecheng-12394	343	21	m=0,1,2	m=0,1,2	NUM
fumecheng-12394	343	22	)	)	PUNCT
fumecheng-12394	343	23	.	.	PUNCT
fumecheng-12394	344	1	consider	consider	VERB
fumecheng-12394	344	2	the	the	DET
fumecheng-12394	344	3	following	follow	VERB
fumecheng-12394	344	4	special	special	ADJ
fumecheng-12394	344	5	case	case	NOUN
fumecheng-12394	344	6	:	:	PUNCT
fumecheng-12394	344	7	suppose	suppose	VERB
fumecheng-12394	344	8	that	that	SCONJ
fumecheng-12394	344	9	the	the	DET
fumecheng-12394	344	10	poisson	poisson	PROPN
fumecheng-12394	344	11	coefficients	coefficient	NOUN
fumecheng-12394	344	12	of	of	ADP
fumecheng-12394	344	13	the	the	DET
fumecheng-12394	344	14	materials	material	NOUN
fumecheng-12394	344	15	of	of	ADP
fumecheng-12394	344	16	all	all	DET
fumecheng-12394	344	17	three	three	NUM
fumecheng-12394	344	18	layers	layer	NOUN
fumecheng-12394	344	19	of	of	ADP
fumecheng-12394	344	20	the	the	DET
fumecheng-12394	344	21	structure	structure	NOUN
fumecheng-12394	344	22	are	be	AUX
fumecheng-12394	344	23	constant	constant	ADJ
fumecheng-12394	344	24	in	in	ADP
fumecheng-12394	344	25	time	time	NOUN
fumecheng-12394	344	26	.	.	PUNCT
fumecheng-12394	345	1	then	then	ADV
fumecheng-12394	345	2	the	the	DET
fumecheng-12394	345	3	kernels	kernel	NOUN
fumecheng-12394	345	4	of	of	ADP
fumecheng-12394	345	5	the	the	DET
fumecheng-12394	345	6	viscoelastic	viscoelastic	PROPN
fumecheng-12394	345	7	operators	operator	NOUN
fumecheng-12394	345	8	rm	rm	PROPN
fumecheng-12394	345	9	and	and	CCONJ
fumecheng-12394	345	10	m	m	PROPN
fumecheng-12394	345	11	r	r	PRON
fumecheng-12394	345	12	will	will	AUX
fumecheng-12394	345	13	be	be	AUX
fumecheng-12394	345	14	the	the	DET
fumecheng-12394	345	15	same	same	ADJ
fumecheng-12394	345	16	,	,	PUNCT
fumecheng-12394	345	17	and	and	CCONJ
fumecheng-12394	345	18	taking	take	VERB
fumecheng-12394	345	19	this	this	DET
fumecheng-12394	345	20	fact	fact	NOUN
fumecheng-12394	345	21	into	into	ADP
fumecheng-12394	345	22	account	account	NOUN
fumecheng-12394	345	23	,	,	PUNCT
fumecheng-12394	345	24	the	the	DET
fumecheng-12394	345	25	operators	operator	NOUN
fumecheng-12394	345	26	n	n	PRON
fumecheng-12394	345	27	m	m	NOUN
fumecheng-12394	345	28	and	and	CCONJ
fumecheng-12394	345	29	,	,	PUNCT
fumecheng-12394	345	30	n	n	PRON
fumecheng-12394	345	31	m	m	PROPN
fumecheng-12394	345	32	take	take	VERB
fumecheng-12394	345	33	the	the	DET
fumecheng-12394	345	34	form	form	NOUN
fumecheng-12394	345	35	:	:	PUNCT
fumecheng-12394	345	36	2	2	NUM
fumecheng-12394	345	37	2	2	NUM
fumecheng-12394	345	38	2	2	NUM
fumecheng-12394	345	39	2	2	NUM
fumecheng-12394	345	40	1	1	NUM
fumecheng-12394	345	41	1	1	NUM
fumecheng-12394	345	42	2	2	NUM
fumecheng-12394	345	43	2	2	NUM
fumecheng-12394	345	44	2	2	NUM
fumecheng-12394	345	45	2	2	NUM
fumecheng-12394	345	46	2	2	NUM
fumecheng-12394	345	47	2	2	NUM
fumecheng-12394	345	48	1	1	NUM
fumecheng-12394	345	49	1	1	NUM
fumecheng-12394	345	50	(	(	PUNCT
fumecheng-12394	345	51	)	)	PUNCT
fumecheng-12394	345	52	,	,	PUNCT
fumecheng-12394	345	53	(	(	PUNCT
fumecheng-12394	345	54	)	)	PUNCT
fumecheng-12394	345	55	0,1,2	0,1,2	NUM
fumecheng-12394	345	56	;	;	PUNCT
fumecheng-12394	345	57	1,2,3	1,2,3	NUM
fumecheng-12394	345	58	,	,	PUNCT
fumecheng-12394	345	59	...	...	PUNCT
fumecheng-12394	345	60	n	n	CCONJ
fumecheng-12394	345	61	n	n	CCONJ
fumecheng-12394	345	62	n	n	CCONJ
fumecheng-12394	345	63	n	n	ADV
fumecheng-12394	345	64	m	m	VERB
fumecheng-12394	345	65	m	m	VERB
fumecheng-12394	345	66	m	m	VERB
fumecheng-12394	345	67	m	m	VERB
fumecheng-12394	345	68	m	m	VERB
fumecheng-12394	345	69	m	m	VERB
fumecheng-12394	345	70	m	m	VERB
fumecheng-12394	345	71	m	m	VERB
fumecheng-12394	345	72	a	a	DET
fumecheng-12394	345	73	t	t	PROPN
fumecheng-12394	345	74	z	z	PROPN
fumecheng-12394	345	75	b	b	PROPN
fumecheng-12394	346	1	t	t	PROPN
fumecheng-12394	346	2	z	z	NOUN
fumecheng-12394	346	3	m	m	VERB
fumecheng-12394	346	4	n	n	ADV
fumecheng-12394	346	5	−	−	NOUN
fumecheng-12394	346	6	−	−	PROPN
fumecheng-12394	346	7			PROPN
fumecheng-12394	346	8			NOUN
fumecheng-12394	347	1			PROPN
fumecheng-12394	347	2			PROPN
fumecheng-12394	347	3			PROPN
fumecheng-12394	347	4			NOUN
fumecheng-12394	347	5			NOUN
fumecheng-12394	347	6			ADJ
fumecheng-12394	347	7			ADJ
fumecheng-12394	347	8			PROPN
fumecheng-12394	347	9	=	=	SYM
fumecheng-12394	348	1	−	−	PROPN
fumecheng-12394	348	2	=	=	SYM
fumecheng-12394	348	3	−	−	X
fumecheng-12394	348	4			PROPN
fumecheng-12394	348	5			NOUN
fumecheng-12394	348	6			NOUN
fumecheng-12394	348	7			PROPN
fumecheng-12394	349	1			PROPN
fumecheng-12394	349	2			PROPN
fumecheng-12394	349	3			ADJ
fumecheng-12394	349	4			ADJ
fumecheng-12394	349	5			PROPN
fumecheng-12394	349	6			VERB
fumecheng-12394	349	7			PROPN
fumecheng-12394	349	8			NOUN
fumecheng-12394	349	9			NOUN
fumecheng-12394	349	10			NOUN
fumecheng-12394	350	1			PROPN
fumecheng-12394	350	2			PROPN
fumecheng-12394	350	3			PROPN
fumecheng-12394	350	4			VERB
fumecheng-12394	350	5			PROPN
fumecheng-12394	350	6	=	=	PUNCT
fumecheng-12394	351	1	=	=	PUNCT
fumecheng-12394	352	1			NOUN
fumecheng-12394	353	1			X
fumecheng-12394	353	2			X
fumecheng-12394	354	1			X
fumecheng-12394	354	2			NUM
fumecheng-12394	354	3			X
fumecheng-12394	354	4			X
fumecheng-12394	354	5			X
fumecheng-12394	354	6	(	(	PUNCT
fumecheng-12394	354	7	25	25	NUM
fumecheng-12394	354	8	)	)	PUNCT
fumecheng-12394	354	9	here	here	ADV
fumecheng-12394	354	10	the	the	DET
fumecheng-12394	354	11	operator	operator	NOUN
fumecheng-12394	354	12	mm	mm	PROPN
fumecheng-12394	354	13	is	be	AUX
fumecheng-12394	354	14	defined	define	VERB
fumecheng-12394	354	15	by	by	ADP
fumecheng-12394	354	16	the	the	DET
fumecheng-12394	354	17	formula	formula	NOUN
fumecheng-12394	354	18	:	:	PUNCT
fumecheng-12394	354	19	0	0	PUNCT
fumecheng-12394	354	20	(	(	PUNCT
fumecheng-12394	354	21	)	)	PUNCT
fumecheng-12394	354	22	(	(	PUNCT
fumecheng-12394	354	23	)	)	PUNCT
fumecheng-12394	354	24	(	(	PUNCT
fumecheng-12394	354	25	)	)	PUNCT
fumecheng-12394	354	26	(	(	PUNCT
fumecheng-12394	354	27	)	)	PUNCT
fumecheng-12394	354	28	;	;	PUNCT
fumecheng-12394	355	1	t	t	PROPN
fumecheng-12394	355	2	m	m	VERB
fumecheng-12394	355	3	mm	mm	INTJ
fumecheng-12394	355	4	t	t	PROPN
fumecheng-12394	355	5	k	k	PROPN
fumecheng-12394	355	6	t	t	PROPN
fumecheng-12394	355	7	d=	d=	NOUN
fumecheng-12394	355	8	−	−	PROPN
fumecheng-12394	356	1	−	−	ADJ
fumecheng-12394	356	2			NOUN
fumecheng-12394	356	3			NOUN
fumecheng-12394	356	4			X
fumecheng-12394	356	5			PROPN
fumecheng-12394	356	6			NOUN
fumecheng-12394	356	7	(	(	PUNCT
fumecheng-12394	356	8	26	26	NUM
fumecheng-12394	356	9	)	)	PUNCT
fumecheng-12394	356	10	longitudinal	longitudinal	ADJ
fumecheng-12394	356	11	-	-	PUNCT
fumecheng-12394	356	12	radial	radial	ADJ
fumecheng-12394	356	13	vibrations	vibration	NOUN
fumecheng-12394	356	14	of	of	ADP
fumecheng-12394	356	15	a	a	DET
fumecheng-12394	356	16	viscoelastic	viscoelastic	ADJ
fumecheng-12394	356	17	cylindrical	cylindrical	ADJ
fumecheng-12394	356	18	three	three	NUM
fumecheng-12394	356	19	-	-	PUNCT
fumecheng-12394	356	20	layer	layer	NOUN
fumecheng-12394	356	21	structure	structure	NOUN
fumecheng-12394	356	22	481	481	NUM
fumecheng-12394	356	23	am	be	AUX
fumecheng-12394	356	24	and	and	CCONJ
fumecheng-12394	356	25	bm	bm	PROPN
fumecheng-12394	356	26	(	(	PUNCT
fumecheng-12394	356	27	m=0,1,2	m=0,1,2	NUM
fumecheng-12394	356	28	)	)	PUNCT
fumecheng-12394	356	29	are	be	AUX
fumecheng-12394	356	30	propagation	propagation	NOUN
fumecheng-12394	356	31	velocities	velocity	NOUN
fumecheng-12394	356	32	of	of	ADP
fumecheng-12394	356	33	longitudinal	longitudinal	ADJ
fumecheng-12394	356	34	and	and	CCONJ
fumecheng-12394	356	35	transverse	transverse	ADJ
fumecheng-12394	356	36	elastic	elastic	ADJ
fumecheng-12394	356	37	waves	wave	NOUN
fumecheng-12394	356	38	in	in	ADP
fumecheng-12394	356	39	layer	layer	NOUN
fumecheng-12394	356	40	materials	material	NOUN
fumecheng-12394	356	41	:	:	PUNCT
fumecheng-12394	356	42	(	(	PUNCT
fumecheng-12394	356	43	2	2	NUM
fumecheng-12394	356	44	)	)	PUNCT
fumecheng-12394	356	45	;	;	PUNCT
fumecheng-12394	357	1	.m	.m	PROPN
fumecheng-12394	357	2	m	m	VERB
fumecheng-12394	357	3	m	m	VERB
fumecheng-12394	357	4	m	m	VERB
fumecheng-12394	357	5	m	m	VERB
fumecheng-12394	357	6	m	m	VERB
fumecheng-12394	357	7	mа	mа	NOUN
fumecheng-12394	357	8	b=	b=	NOUN
fumecheng-12394	357	9	+	+	CCONJ
fumecheng-12394	358	1	=	=	SYM
fumecheng-12394	358	2			ADJ
fumecheng-12394	358	3			NOUN
fumecheng-12394	358	4			NOUN
fumecheng-12394	358	5			NOUN
fumecheng-12394	358	6			NOUN
fumecheng-12394	358	7	(	(	PUNCT
fumecheng-12394	358	8	27	27	NUM
fumecheng-12394	358	9	)	)	PUNCT
fumecheng-12394	358	10	in	in	ADP
fumecheng-12394	358	11	this	this	DET
fumecheng-12394	358	12	case	case	NOUN
fumecheng-12394	358	13	,	,	PUNCT
fumecheng-12394	358	14	the	the	DET
fumecheng-12394	358	15	operators	operator	NOUN
fumecheng-12394	358	16	(	(	PUNCT
fumecheng-12394	358	17	0	0	NUM
fumecheng-12394	358	18	)	)	PUNCT
fumecheng-12394	358	19	1q	1q	NUM
fumecheng-12394	358	20	and	and	CCONJ
fumecheng-12394	358	21	(	(	PUNCT
fumecheng-12394	358	22	0	0	NUM
fumecheng-12394	358	23	)	)	PUNCT
fumecheng-12394	358	24	2q	2q	NOUN
fumecheng-12394	358	25	are	be	AUX
fumecheng-12394	358	26	computed	compute	VERB
fumecheng-12394	358	27	in	in	ADP
fumecheng-12394	358	28	then	then	ADV
fumecheng-12394	358	29	following	follow	VERB
fumecheng-12394	358	30	way	way	NOUN
fumecheng-12394	358	31	:	:	PUNCT
fumecheng-12394	358	32	(	(	PUNCT
fumecheng-12394	358	33	)	)	PUNCT
fumecheng-12394	358	34	(	(	PUNCT
fumecheng-12394	358	35	)	)	PUNCT
fumecheng-12394	358	36	(	(	PUNCT
fumecheng-12394	358	37	)	)	PUNCT
fumecheng-12394	358	38	(	(	PUNCT
fumecheng-12394	358	39	0	0	NUM
fumecheng-12394	358	40	)	)	PUNCT
fumecheng-12394	358	41	(	(	PUNCT
fumecheng-12394	358	42	0	0	NUM
fumecheng-12394	358	43	)	)	PUNCT
fumecheng-12394	359	1	1	1	NUM
fumecheng-12394	359	2	0	0	NUM
fumecheng-12394	359	3	0	0	NUM
fumecheng-12394	359	4	0	0	NUM
fumecheng-12394	359	5	2	2	NUM
fumecheng-12394	359	6	0	0	NUM
fumecheng-12394	359	7	0	0	NUM
fumecheng-12394	359	8	0	0	NUM
fumecheng-12394	359	9	0	0	NUM
fumecheng-12394	359	10	,	,	PUNCT
fumecheng-12394	359	11	2q	2q	NUM
fumecheng-12394	359	12	q=	q=	ADV
fumecheng-12394	359	13	+	+	CCONJ
fumecheng-12394	359	14	=	=	X
fumecheng-12394	359	15	−	−	X
fumecheng-12394	359	16	+	+	CCONJ
fumecheng-12394	359	17	+	+	ADJ
fumecheng-12394	359	18			ADJ
fumecheng-12394	359	19			NOUN
fumecheng-12394	359	20			NOUN
fumecheng-12394	359	21			ADJ
fumecheng-12394	359	22			NOUN
fumecheng-12394	359	23			ADJ
fumecheng-12394	359	24			NOUN
fumecheng-12394	359	25	(	(	PUNCT
fumecheng-12394	359	26	28	28	NUM
fumecheng-12394	359	27	)	)	PUNCT
fumecheng-12394	359	28	taking	take	VERB
fumecheng-12394	359	29	into	into	ADP
fumecheng-12394	359	30	account	account	PROPN
fumecheng-12394	359	31	eqs	eqs	PROPN
fumecheng-12394	359	32	.	.	PUNCT
fumecheng-12394	360	1	(	(	PUNCT
fumecheng-12394	360	2	25	25	NUM
fumecheng-12394	360	3	-	-	SYM
fumecheng-12394	360	4	28	28	NUM
fumecheng-12394	360	5	)	)	PUNCT
fumecheng-12394	360	6	,	,	PUNCT
fumecheng-12394	360	7	the	the	DET
fumecheng-12394	360	8	equations	equation	NOUN
fumecheng-12394	360	9	of	of	ADP
fumecheng-12394	360	10	longitudinal	longitudinal	ADJ
fumecheng-12394	360	11	-	-	PUNCT
fumecheng-12394	360	12	radial	radial	ADJ
fumecheng-12394	360	13	vibrations	vibration	NOUN
fumecheng-12394	360	14	of	of	ADP
fumecheng-12394	360	15	a	a	DET
fumecheng-12394	360	16	three	three	NUM
fumecheng-12394	360	17	-	-	PUNCT
fumecheng-12394	360	18	layer	layer	NOUN
fumecheng-12394	360	19	cylindrical	cylindrical	ADJ
fumecheng-12394	360	20	viscoelastic	viscoelastic	NOUN
fumecheng-12394	360	21	structure	structure	NOUN
fumecheng-12394	360	22	are	be	AUX
fumecheng-12394	360	23	significantly	significantly	ADV
fumecheng-12394	360	24	simplified	simplified	ADJ
fumecheng-12394	360	25	.	.	PUNCT
fumecheng-12394	361	1	2.3	2.3	NUM
fumecheng-12394	361	2	.	.	PUNCT
fumecheng-12394	362	1	determination	determination	NOUN
fumecheng-12394	362	2	of	of	ADP
fumecheng-12394	362	3	displacements	displacement	NOUN
fumecheng-12394	362	4	and	and	CCONJ
fumecheng-12394	362	5	stresses	stress	NOUN
fumecheng-12394	362	6	to	to	PART
fumecheng-12394	362	7	determine	determine	VERB
fumecheng-12394	362	8	the	the	DET
fumecheng-12394	362	9	stress	stress	NOUN
fumecheng-12394	362	10	-	-	PUNCT
fumecheng-12394	362	11	strain	strain	NOUN
fumecheng-12394	362	12	state	state	NOUN
fumecheng-12394	362	13	of	of	ADP
fumecheng-12394	362	14	the	the	DET
fumecheng-12394	362	15	structure	structure	NOUN
fumecheng-12394	362	16	,	,	PUNCT
fumecheng-12394	362	17	it	it	PRON
fumecheng-12394	362	18	is	be	AUX
fumecheng-12394	362	19	necessary	necessary	ADJ
fumecheng-12394	362	20	to	to	PART
fumecheng-12394	362	21	determine	determine	VERB
fumecheng-12394	362	22	the	the	DET
fumecheng-12394	362	23	displacements	displacement	NOUN
fumecheng-12394	362	24	and	and	CCONJ
fumecheng-12394	362	25	stresses	stress	NOUN
fumecheng-12394	362	26	.	.	PUNCT
fumecheng-12394	363	1	this	this	DET
fumecheng-12394	363	2	procedure	procedure	NOUN
fumecheng-12394	363	3	must	must	AUX
fumecheng-12394	363	4	be	be	AUX
fumecheng-12394	363	5	performed	perform	VERB
fumecheng-12394	363	6	for	for	ADP
fumecheng-12394	363	7	all	all	DET
fumecheng-12394	363	8	three	three	NUM
fumecheng-12394	363	9	layers	layer	NOUN
fumecheng-12394	363	10	.	.	PUNCT
fumecheng-12394	364	1	to	to	PART
fumecheng-12394	364	2	do	do	VERB
fumecheng-12394	364	3	this	this	PRON
fumecheng-12394	364	4	,	,	PUNCT
fumecheng-12394	364	5	it	it	PRON
fumecheng-12394	364	6	will	will	AUX
fumecheng-12394	364	7	be	be	AUX
fumecheng-12394	364	8	necessary	necessary	ADJ
fumecheng-12394	364	9	to	to	PART
fumecheng-12394	364	10	express	express	VERB
fumecheng-12394	364	11	all	all	DET
fumecheng-12394	364	12	displacements	displacement	NOUN
fumecheng-12394	364	13	and	and	CCONJ
fumecheng-12394	364	14	stresses	stress	NOUN
fumecheng-12394	364	15	through	through	ADP
fumecheng-12394	364	16	the	the	DET
fumecheng-12394	364	17	main	main	ADJ
fumecheng-12394	364	18	parts	part	NOUN
fumecheng-12394	364	19	u0,0	u0,0	NOUN
fumecheng-12394	364	20	,	,	PUNCT
fumecheng-12394	364	21	u0,1	u0,1	NOUN
fumecheng-12394	364	22	and	and	CCONJ
fumecheng-12394	364	23	w0,0	w0,0	PROPN
fumecheng-12394	364	24	,	,	PUNCT
fumecheng-12394	364	25	w0,1	w0,1	ADV
fumecheng-12394	364	26	respectively	respectively	ADV
fumecheng-12394	364	27	,	,	PUNCT
fumecheng-12394	364	28	longitudinal	longitudinal	ADJ
fumecheng-12394	364	29	–	–	PUNCT
fumecheng-12394	364	30	u0	u0	ADJ
fumecheng-12394	364	31	and	and	CCONJ
fumecheng-12394	364	32	radial	radial	ADJ
fumecheng-12394	364	33	–	–	PUNCT
fumecheng-12394	364	34	w0	w0	NOUN
fumecheng-12394	364	35	displacements	displacement	NOUN
fumecheng-12394	364	36	of	of	ADP
fumecheng-12394	364	37	points	point	NOUN
fumecheng-12394	364	38	of	of	ADP
fumecheng-12394	364	39	some	some	DET
fumecheng-12394	364	40	“	"	PUNCT
fumecheng-12394	364	41	intermediate	intermediate	ADJ
fumecheng-12394	364	42	”	"	PUNCT
fumecheng-12394	364	43	surface	surface	NOUN
fumecheng-12394	364	44	of	of	ADP
fumecheng-12394	364	45	the	the	DET
fumecheng-12394	364	46	middle	middle	ADJ
fumecheng-12394	364	47	layer	layer	NOUN
fumecheng-12394	364	48	of	of	ADP
fumecheng-12394	364	49	a	a	DET
fumecheng-12394	364	50	three	three	NUM
fumecheng-12394	364	51	-	-	PUNCT
fumecheng-12394	364	52	layer	layer	NOUN
fumecheng-12394	364	53	cylindrical	cylindrical	ADJ
fumecheng-12394	364	54	structure	structure	NOUN
fumecheng-12394	364	55	.	.	PUNCT
fumecheng-12394	365	1	first	first	ADV
fumecheng-12394	365	2	,	,	PUNCT
fumecheng-12394	365	3	it	it	PRON
fumecheng-12394	365	4	is	be	AUX
fumecheng-12394	365	5	necessary	necessary	ADJ
fumecheng-12394	365	6	to	to	PART
fumecheng-12394	365	7	determine	determine	VERB
fumecheng-12394	365	8	the	the	DET
fumecheng-12394	365	9	displacements	displacement	NOUN
fumecheng-12394	365	10	u0	u0	ADJ
fumecheng-12394	365	11	,	,	PUNCT
fumecheng-12394	365	12	w0	w0	PROPN
fumecheng-12394	365	13	and	and	CCONJ
fumecheng-12394	365	14	the	the	DET
fumecheng-12394	365	15	stresses	stress	NOUN
fumecheng-12394	365	16	(	(	PUNCT
fumecheng-12394	365	17	0	0	NUM
fumecheng-12394	365	18	)	)	PUNCT
fumecheng-12394	365	19	rr	rr	NOUN
fumecheng-12394	365	20	,	,	PUNCT
fumecheng-12394	365	21	(	(	PUNCT
fumecheng-12394	365	22	0	0	NUM
fumecheng-12394	365	23	)	)	PUNCT
fumecheng-12394	365	24	zz	zz	NOUN
fumecheng-12394	365	25	,	,	PUNCT
fumecheng-12394	365	26	(	(	PUNCT
fumecheng-12394	365	27	0	0	NUM
fumecheng-12394	365	28	)	)	PUNCT
fumecheng-12394	365	29			NOUN
fumecheng-12394	365	30	,	,	PUNCT
fumecheng-12394	365	31	(	(	PUNCT
fumecheng-12394	365	32	0	0	NUM
fumecheng-12394	365	33	)	)	PUNCT
fumecheng-12394	365	34	zr	zr	PROPN
fumecheng-12394	365	35	points	point	NOUN
fumecheng-12394	365	36	of	of	ADP
fumecheng-12394	365	37	the	the	DET
fumecheng-12394	365	38	middle	middle	ADJ
fumecheng-12394	365	39	layer	layer	NOUN
fumecheng-12394	365	40	.	.	PUNCT
fumecheng-12394	366	1	to	to	PART
fumecheng-12394	366	2	find	find	VERB
fumecheng-12394	366	3	u0	u0	ADJ
fumecheng-12394	366	4	,	,	PUNCT
fumecheng-12394	366	5	w0	w0	VERB
fumecheng-12394	366	6	it	it	PRON
fumecheng-12394	366	7	is	be	AUX
fumecheng-12394	366	8	enough	enough	ADJ
fumecheng-12394	366	9	to	to	PART
fumecheng-12394	366	10	reverse	reverse	VERB
fumecheng-12394	366	11	the	the	DET
fumecheng-12394	366	12	expressions	expression	NOUN
fumecheng-12394	366	13	in	in	ADP
fumecheng-12394	366	14	eqs	eqs	PROPN
fumecheng-12394	366	15	.	.	PUNCT
fumecheng-12394	367	1	(	(	PUNCT
fumecheng-12394	367	2	18	18	NUM
fumecheng-12394	367	3	)	)	PUNCT
fumecheng-12394	367	4	and	and	CCONJ
fumecheng-12394	367	5	(	(	PUNCT
fumecheng-12394	367	6	19	19	NUM
fumecheng-12394	367	7	)	)	PUNCT
fumecheng-12394	367	8	for	for	ADP
fumecheng-12394	367	9	0	0	NUM
fumecheng-12394	367	10	(	(	PUNCT
fumecheng-12394	367	11	,	,	PUNCT
fumecheng-12394	367	12	,	,	PUNCT
fumecheng-12394	367	13	)	)	PUNCT
fumecheng-12394	367	14	u	u	NOUN
fumecheng-12394	367	15	r	r	NOUN
fumecheng-12394	367	16	k	k	PROPN
fumecheng-12394	367	17	p	p	PROPN
fumecheng-12394	367	18	and	and	CCONJ
fumecheng-12394	367	19	0	0	NUM
fumecheng-12394	367	20	(	(	PUNCT
fumecheng-12394	367	21	,	,	PUNCT
fumecheng-12394	367	22	,	,	PUNCT
fumecheng-12394	367	23	)	)	PUNCT
fumecheng-12394	367	24	w	w	NOUN
fumecheng-12394	368	1	r	r	NOUN
fumecheng-12394	368	2	k	k	NOUN
fumecheng-12394	368	3	p	p	NOUN
fumecheng-12394	368	4	by	by	ADP
fumecheng-12394	368	5	p	p	PROPN
fumecheng-12394	368	6	and	and	CCONJ
fumecheng-12394	368	7	k.	k.	NOUN
fumecheng-12394	368	8	applying	apply	VERB
fumecheng-12394	368	9	transformations	transformation	NOUN
fumecheng-12394	368	10	given	give	VERB
fumecheng-12394	368	11	by	by	ADP
fumecheng-12394	368	12	eqs	eqs	PROPN
fumecheng-12394	368	13	.	.	PUNCT
fumecheng-12394	369	1	(	(	PUNCT
fumecheng-12394	369	2	20	20	NUM
fumecheng-12394	369	3	)	)	PUNCT
fumecheng-12394	369	4	and	and	CCONJ
fumecheng-12394	369	5	(	(	PUNCT
fumecheng-12394	369	6	21	21	NUM
fumecheng-12394	369	7	)	)	PUNCT
fumecheng-12394	369	8	to	to	ADP
fumecheng-12394	369	9	eqs	eqs	PROPN
fumecheng-12394	369	10	.	.	PUNCT
fumecheng-12394	370	1	(	(	PUNCT
fumecheng-12394	370	2	18	18	NUM
fumecheng-12394	370	3	)	)	PUNCT
fumecheng-12394	370	4	and	and	CCONJ
fumecheng-12394	370	5	(	(	PUNCT
fumecheng-12394	370	6	19	19	NUM
fumecheng-12394	370	7	)	)	PUNCT
fumecheng-12394	370	8	and	and	CCONJ
fumecheng-12394	370	9	limiting	limit	VERB
fumecheng-12394	370	10	ourselves	ourselves	PRON
fumecheng-12394	370	11	to	to	ADP
fumecheng-12394	370	12	the	the	DET
fumecheng-12394	370	13	zeroth	zeroth	ADJ
fumecheng-12394	370	14	order	order	NOUN
fumecheng-12394	370	15	approximation	approximation	NOUN
fumecheng-12394	370	16	,	,	PUNCT
fumecheng-12394	370	17	we	we	PRON
fumecheng-12394	370	18	obtain	obtain	VERB
fumecheng-12394	370	19	:	:	PUNCT
fumecheng-12394	370	20	0	0	NUM
fumecheng-12394	370	21	0,0	0,0	NUM
fumecheng-12394	370	22	0,1	0,1	NUM
fumecheng-12394	370	23	0	0	NUM
fumecheng-12394	370	24	0,1	0,1	NUM
fumecheng-12394	370	25	0,0	0,0	NOUN
fumecheng-12394	370	26	(	(	PUNCT
fumecheng-12394	370	27	,	,	PUNCT
fumecheng-12394	370	28	,	,	PUNCT
fumecheng-12394	370	29	)	)	PUNCT
fumecheng-12394	370	30	;	;	PUNCT
fumecheng-12394	370	31	(	(	PUNCT
fumecheng-12394	370	32	,	,	PUNCT
fumecheng-12394	370	33	,	,	PUNCT
fumecheng-12394	370	34	)	)	PUNCT
fumecheng-12394	370	35	.	.	PUNCT
fumecheng-12394	371	1	2	2	NUM
fumecheng-12394	371	2	r	r	NOUN
fumecheng-12394	371	3	u	u	NOUN
fumecheng-12394	371	4	r	r	NOUN
fumecheng-12394	371	5	z	z	NOUN
fumecheng-12394	371	6	t	t	NOUN
fumecheng-12394	371	7	u	u	X
fumecheng-12394	371	8	u	u	PROPN
fumecheng-12394	371	9	w	w	PROPN
fumecheng-12394	371	10	r	r	NOUN
fumecheng-12394	371	11	z	z	NOUN
fumecheng-12394	371	12	t	t	PROPN
fumecheng-12394	371	13	w	w	PROPN
fumecheng-12394	371	14	w	w	PROPN
fumecheng-12394	371	15	r	r	NOUN
fumecheng-12394	371	16	=	=	PUNCT
fumecheng-12394	371	17	−	−	NOUN
fumecheng-12394	371	18	=	=	SYM
fumecheng-12394	371	19	−	−	PROPN
fumecheng-12394	371	20	+	+	CCONJ
fumecheng-12394	371	21			NOUN
fumecheng-12394	371	22			X
fumecheng-12394	371	23	(	(	PUNCT
fumecheng-12394	371	24	29	29	NUM
fumecheng-12394	371	25	)	)	PUNCT
fumecheng-12394	371	26	similarly	similarly	ADV
fumecheng-12394	371	27	,	,	PUNCT
fumecheng-12394	371	28	formulas	formula	NOUN
fumecheng-12394	371	29	for	for	ADP
fumecheng-12394	371	30	stresses	stress	NOUN
fumecheng-12394	371	31	are	be	AUX
fumecheng-12394	371	32	derived	derive	VERB
fumecheng-12394	371	33	,	,	PUNCT
fumecheng-12394	371	34	for	for	ADP
fumecheng-12394	371	35	example	example	NOUN
fumecheng-12394	371	36	0	0	NUM
fumecheng-12394	371	37	2	2	NUM
fumecheng-12394	371	38	0,0(0	0,0(0	NOUN
fumecheng-12394	371	39	)	)	PUNCT
fumecheng-12394	371	40	(	(	PUNCT
fumecheng-12394	371	41	0	0	NUM
fumecheng-12394	371	42	)	)	PUNCT
fumecheng-12394	371	43	(	(	PUNCT
fumecheng-12394	371	44	0	0	NUM
fumecheng-12394	371	45	)	)	PUNCT
fumecheng-12394	371	46	(	(	PUNCT
fumecheng-12394	371	47	0	0	NUM
fumecheng-12394	371	48	)	)	PUNCT
fumecheng-12394	371	49	1	1	NUM
fumecheng-12394	371	50	0,0	0,0	NUM
fumecheng-12394	371	51	1	1	NUM
fumecheng-12394	371	52	3	3	NUM
fumecheng-12394	371	53	,	,	PUNCT
fumecheng-12394	371	54	0	0	NUM
fumecheng-12394	371	55	2	2	NUM
fumecheng-12394	371	56	2	2	NUM
fumecheng-12394	371	57	0	0	NUM
fumecheng-12394	371	58	2	2	NUM
fumecheng-12394	371	59	0,1(0	0,1(0	NOUN
fumecheng-12394	371	60	)	)	PUNCT
fumecheng-12394	371	61	(	(	PUNCT
fumecheng-12394	371	62	0	0	NUM
fumecheng-12394	371	63	)	)	PUNCT
fumecheng-12394	371	64	1	1	NUM
fumecheng-12394	371	65	,	,	PUNCT
fumecheng-12394	371	66	0,1	0,1	NUM
fumecheng-12394	371	67	2	2	NUM
fumecheng-12394	371	68	3	3	NUM
fumecheng-12394	371	69	,	,	PUNCT
fumecheng-12394	371	70	2	2	NUM
fumecheng-12394	371	71	1	1	NUM
fumecheng-12394	371	72	,	,	PUNCT
fumecheng-12394	371	73	0,12	0,12	ADJ
fumecheng-12394	371	74	2	2	NUM
fumecheng-12394	371	75	(	(	PUNCT
fumecheng-12394	371	76	1	1	NUM
fumecheng-12394	371	77	)	)	PUNCT
fumecheng-12394	371	78	(	(	PUNCT
fumecheng-12394	371	79	)	)	PUNCT
fumecheng-12394	371	80	2	2	NUM
fumecheng-12394	371	81	(	(	PUNCT
fumecheng-12394	371	82	)	)	PUNCT
fumecheng-12394	371	83	2	2	NUM
fumecheng-12394	371	84	(	(	PUNCT
fumecheng-12394	371	85	)	)	PUNCT
fumecheng-12394	371	86	(	(	PUNCT
fumecheng-12394	371	87	)	)	PUNCT
fumecheng-12394	371	88	rr	rr	PROPN
fumecheng-12394	371	89	n	n	CCONJ
fumecheng-12394	371	90	n	n	CCONJ
fumecheng-12394	371	91	n	n	CCONJ
fumecheng-12394	371	92	n	n	CCONJ
fumecheng-12394	371	93	n	n	CCONJ
fumecheng-12394	371	94	u	u	NOUN
fumecheng-12394	371	95	r	r	NOUN
fumecheng-12394	371	96	q	q	NOUN
fumecheng-12394	371	97	w	w	NOUN
fumecheng-12394	371	98	q	q	NOUN
fumecheng-12394	371	99	r	r	NOUN
fumecheng-12394	371	100	q	q	NOUN
fumecheng-12394	371	101	z	z	NOUN
fumecheng-12394	371	102	z	z	NOUN
fumecheng-12394	371	103	u	u	NOUN
fumecheng-12394	371	104	r	r	NOUN
fumecheng-12394	371	105	w	w	NOUN
fumecheng-12394	371	106	q	q	NOUN
fumecheng-12394	371	107	r	r	NOUN
fumecheng-12394	371	108	q	q	NOUN
fumecheng-12394	371	109	r	r	NOUN
fumecheng-12394	371	110	w	w	NOUN
fumecheng-12394	371	111	zz	zz	NOUN
fumecheng-12394	371	112	r	r	NOUN
fumecheng-12394	371	113			NOUN
fumecheng-12394	371	114	=	=	SYM
fumecheng-12394	371	115			PROPN
fumecheng-12394	371	116			NOUN
fumecheng-12394	371	117			PROPN
fumecheng-12394	371	118			PROPN
fumecheng-12394	371	119	=	=	PROPN
fumecheng-12394	371	120	−	−	PROPN
fumecheng-12394	372	1	−	−	PROPN
fumecheng-12394	373	1	+	+	CCONJ
fumecheng-12394	373	2	−	−	PROPN
fumecheng-12394	374	1	+	+	CCONJ
fumecheng-12394	374	2	−	−	PROPN
fumecheng-12394	374	3			PROPN
fumecheng-12394	374	4			PROPN
fumecheng-12394	374	5			NOUN
fumecheng-12394	375	1			PROPN
fumecheng-12394	375	2			PROPN
fumecheng-12394	375	3			PROPN
fumecheng-12394	375	4			NOUN
fumecheng-12394	376	1			PRON
fumecheng-12394	376	2			ADJ
fumecheng-12394	376	3			NOUN
fumecheng-12394	376	4			NOUN
fumecheng-12394	376	5			PROPN
fumecheng-12394	376	6			NUM
fumecheng-12394	376	7			NOUN
fumecheng-12394	376	8	−	−	PROPN
fumecheng-12394	376	9	−	−	NOUN
fumecheng-12394	376	10	−	−	PROPN
fumecheng-12394	376	11	−	−	ADV
fumecheng-12394	376	12			NOUN
fumecheng-12394	376	13			PROPN
fumecheng-12394	376	14			PROPN
fumecheng-12394	376	15			PROPN
fumecheng-12394	376	16			NUM
fumecheng-12394	376	17			PROPN
fumecheng-12394	376	18			NOUN
fumecheng-12394	376	19			NUM
fumecheng-12394	376	20			ADP
fumecheng-12394	376	21			PUNCT
fumecheng-12394	376	22			CCONJ
fumecheng-12394	376	23			NUM
fumecheng-12394	376	24			NUM
fumecheng-12394	376	25			NOUN
fumecheng-12394	376	26			NUM
fumecheng-12394	376	27			NUM
fumecheng-12394	376	28			NOUN
fumecheng-12394	376	29	(	(	PUNCT
fumecheng-12394	376	30	30	30	NUM
fumecheng-12394	376	31	)	)	PUNCT
fumecheng-12394	376	32	the	the	DET
fumecheng-12394	376	33	displacements	displacement	NOUN
fumecheng-12394	376	34	and	and	CCONJ
fumecheng-12394	376	35	stresses	stress	NOUN
fumecheng-12394	376	36	of	of	ADP
fumecheng-12394	376	37	the	the	DET
fumecheng-12394	376	38	other	other	ADJ
fumecheng-12394	376	39	layers	layer	NOUN
fumecheng-12394	376	40	are	be	AUX
fumecheng-12394	376	41	found	find	VERB
fumecheng-12394	376	42	in	in	ADP
fumecheng-12394	376	43	a	a	DET
fumecheng-12394	376	44	similar	similar	ADJ
fumecheng-12394	376	45	way	way	NOUN
fumecheng-12394	376	46	,	,	PUNCT
fumecheng-12394	376	47	for	for	ADP
fumecheng-12394	376	48	example	example	NOUN
fumecheng-12394	376	49	:	:	PUNCT
fumecheng-12394	376	50	2	2	NUM
fumecheng-12394	376	51	22	22	NUM
fumecheng-12394	376	52	2	2	NUM
fumecheng-12394	376	53	2	2	NUM
fumecheng-12394	376	54	2	2	NUM
fumecheng-12394	376	55	2	2	NUM
fumecheng-12394	376	56	2	2	NUM
fumecheng-12394	376	57	2	2	NUM
fumecheng-12394	376	58	2	2	NUM
fumecheng-12394	376	59	2	2	NUM
fumecheng-12394	376	60	0	0	NUM
fumecheng-12394	376	61	22	22	NUM
fumecheng-12394	376	62	2	2	NUM
fumecheng-12394	376	63	2	2	NUM
fumecheng-12394	376	64	2	2	NUM
fumecheng-12394	376	65	2	2	NUM
fumecheng-12394	376	66	0	0	NUM
fumecheng-12394	376	67	22	22	NUM
fumecheng-12394	376	68	2	2	NUM
fumecheng-12394	376	69	2	2	NUM
fumecheng-12394	376	70	2	2	NUM
fumecheng-12394	376	71	(	(	PUNCT
fumecheng-12394	376	72	,	,	PUNCT
fumecheng-12394	376	73	,	,	PUNCT
fumecheng-12394	376	74	)	)	PUNCT
fumecheng-12394	376	75	(	(	PUNCT
fumecheng-12394	376	76	,	,	PUNCT
fumecheng-12394	376	77	,	,	PUNCT
fumecheng-12394	376	78	)	)	PUNCT
fumecheng-12394	376	79	8	8	NUM
fumecheng-12394	376	80	(	(	PUNCT
fumecheng-12394	376	81	,	,	PUNCT
fumecheng-12394	376	82	,	,	PUNCT
fumecheng-12394	376	83	)	)	PUNCT
fumecheng-12394	376	84	(	(	PUNCT
fumecheng-12394	376	85	)	)	PUNCT
fumecheng-12394	376	86	4	4	NUM
fumecheng-12394	376	87	r	r	NOUN
fumecheng-12394	376	88	r	r	NOUN
fumecheng-12394	376	89	u	u	NOUN
fumecheng-12394	376	90	r	r	NOUN
fumecheng-12394	376	91	z	z	NOUN
fumecheng-12394	376	92	t	t	NOUN
fumecheng-12394	376	93	u	u	NOUN
fumecheng-12394	376	94	r	r	NOUN
fumecheng-12394	376	95	z	z	NOUN
fumecheng-12394	376	96	t	t	NOUN
fumecheng-12394	376	97	z	z	NOUN
fumecheng-12394	376	98	z	z	NOUN
fumecheng-12394	376	99	z	z	NOUN
fumecheng-12394	376	100	w	w	NOUN
fumecheng-12394	376	101	r	r	NOUN
fumecheng-12394	376	102	z	z	NOUN
fumecheng-12394	376	103	tr	tr	NOUN
fumecheng-12394	376	104	r	r	NOUN
fumecheng-12394	376	105	r	r	NOUN
fumecheng-12394	376	106	z	z	NOUN
fumecheng-12394	376	107			NOUN
fumecheng-12394	376	108			PROPN
fumecheng-12394	376	109			PROPN
fumecheng-12394	376	110			NOUN
fumecheng-12394	376	111	−	−	ADP
fumecheng-12394	376	112			ADJ
fumecheng-12394	376	113			ADJ
fumecheng-12394	376	114	−	−	PROPN
fumecheng-12394	377	1	=	=	SYM
fumecheng-12394	377	2	−	−	PROPN
fumecheng-12394	378	1	+	+	CCONJ
fumecheng-12394	379	1	−	−	PROPN
fumecheng-12394	379	2	+	+	ADJ
fumecheng-12394	379	3			PROPN
fumecheng-12394	379	4			NOUN
fumecheng-12394	379	5			PROPN
fumecheng-12394	379	6			PROPN
fumecheng-12394	379	7			VERB
fumecheng-12394	380	1			X
fumecheng-12394	380	2			ADJ
fumecheng-12394	380	3			ADJ
fumecheng-12394	380	4			NOUN
fumecheng-12394	380	5			PROPN
fumecheng-12394	380	6			NOUN
fumecheng-12394	380	7			NOUN
fumecheng-12394	380	8	−	−	NOUN
fumecheng-12394	381	1	+	+	CCONJ
fumecheng-12394	381	2	−	−	ADP
fumecheng-12394	381	3			PROPN
fumecheng-12394	381	4			NUM
fumecheng-12394	381	5			PROPN
fumecheng-12394	381	6			NUM
fumecheng-12394	381	7			ADJ
fumecheng-12394	381	8			ADJ
fumecheng-12394	381	9			NUM
fumecheng-12394	381	10	(	(	PUNCT
fumecheng-12394	381	11	31	31	NUM
fumecheng-12394	381	12	)	)	PUNCT
fumecheng-12394	381	13	solutions	solution	NOUN
fumecheng-12394	381	14	of	of	ADP
fumecheng-12394	381	15	eqs	eqs	PROPN
fumecheng-12394	381	16	.	.	PUNCT
fumecheng-12394	382	1	(	(	PUNCT
fumecheng-12394	382	2	22	22	NUM
fumecheng-12394	382	3	)	)	PUNCT
fumecheng-12394	382	4	and	and	CCONJ
fumecheng-12394	382	5	(	(	PUNCT
fumecheng-12394	382	6	23	23	NUM
fumecheng-12394	382	7	)	)	PUNCT
fumecheng-12394	382	8	for	for	ADP
fumecheng-12394	382	9	u0,0	u0,0	NOUN
fumecheng-12394	382	10	,	,	PUNCT
fumecheng-12394	382	11	u0,1	u0,1	NOUN
fumecheng-12394	382	12	and	and	CCONJ
fumecheng-12394	382	13	w0,0	w0,0	PROPN
fumecheng-12394	382	14	,	,	PUNCT
fumecheng-12394	382	15	w0,1	w0,1	PROPN
fumecheng-12394	382	16	,	,	PUNCT
fumecheng-12394	382	17	can	can	AUX
fumecheng-12394	382	18	be	be	AUX
fumecheng-12394	382	19	used	use	VERB
fumecheng-12394	382	20	for	for	ADP
fumecheng-12394	382	21	calculating	calculate	VERB
fumecheng-12394	382	22	the	the	DET
fumecheng-12394	382	23	displacements	displacement	NOUN
fumecheng-12394	382	24	u0	u0	ADJ
fumecheng-12394	382	25	,	,	PUNCT
fumecheng-12394	382	26	w0	w0	PROPN
fumecheng-12394	382	27	of	of	ADP
fumecheng-12394	382	28	points	point	NOUN
fumecheng-12394	382	29	of	of	ADP
fumecheng-12394	382	30	an	an	DET
fumecheng-12394	382	31	arbitrary	arbitrary	ADJ
fumecheng-12394	382	32	cross	cross	NOUN
fumecheng-12394	382	33	-	-	NOUN
fumecheng-12394	382	34	section	section	NOUN
fumecheng-12394	382	35	of	of	ADP
fumecheng-12394	382	36	the	the	DET
fumecheng-12394	382	37	median	median	ADJ
fumecheng-12394	382	38	layer	layer	NOUN
fumecheng-12394	382	39	for	for	ADP
fumecheng-12394	382	40	any	any	DET
fumecheng-12394	382	41	moment	moment	NOUN
fumecheng-12394	382	42	in	in	ADP
fumecheng-12394	382	43	time	time	NOUN
fumecheng-12394	382	44	using	use	VERB
fumecheng-12394	382	45	eq	eq	X
fumecheng-12394	382	46	.	.	PUNCT
fumecheng-12394	383	1	(	(	PUNCT
fumecheng-12394	383	2	29	29	NUM
fumecheng-12394	383	3	)	)	PUNCT
fumecheng-12394	383	4	with	with	ADP
fumecheng-12394	383	5	the	the	DET
fumecheng-12394	383	6	desired	desire	VERB
fumecheng-12394	383	7	accuracy	accuracy	NOUN
fumecheng-12394	383	8	along	along	ADP
fumecheng-12394	383	9	the	the	DET
fumecheng-12394	383	10	radial	radial	ADJ
fumecheng-12394	383	11	coordinate	coordinate	NOUN
fumecheng-12394	383	12	r	r	NOUN
fumecheng-12394	383	13	,	,	PUNCT
fumecheng-12394	383	14	for	for	ADP
fumecheng-12394	383	15	an	an	DET
fumecheng-12394	383	16	arbitrary	arbitrary	ADJ
fumecheng-12394	383	17	moment	moment	NOUN
fumecheng-12394	383	18	in	in	ADP
fumecheng-12394	383	19	time	time	NOUN
fumecheng-12394	383	20	.	.	PUNCT
fumecheng-12394	384	1	similarly	similarly	ADV
fumecheng-12394	384	2	,	,	PUNCT
fumecheng-12394	384	3	the	the	DET
fumecheng-12394	384	4	stresses	stress	NOUN
fumecheng-12394	384	5	of	of	ADP
fumecheng-12394	384	6	the	the	DET
fumecheng-12394	384	7	remaining	remain	VERB
fumecheng-12394	384	8	displacements	displacement	NOUN
fumecheng-12394	384	9	and	and	CCONJ
fumecheng-12394	384	10	stresses	stress	NOUN
fumecheng-12394	384	11	at	at	ADP
fumecheng-12394	384	12	the	the	DET
fumecheng-12394	384	13	points	point	NOUN
fumecheng-12394	384	14	of	of	ADP
fumecheng-12394	384	15	the	the	DET
fumecheng-12394	384	16	layers	layer	NOUN
fumecheng-12394	384	17	are	be	AUX
fumecheng-12394	384	18	determined	determine	VERB
fumecheng-12394	384	19	in	in	ADP
fumecheng-12394	384	20	the	the	DET
fumecheng-12394	384	21	case	case	NOUN
fumecheng-12394	385	1	when	when	SCONJ
fumecheng-12394	385	2	m=1	m=1	PROPN
fumecheng-12394	385	3	and	and	CCONJ
fumecheng-12394	385	4	m=2	m=2	PROPN
fumecheng-12394	385	5	.	.	PUNCT
fumecheng-12394	385	6	482	482	NUM
fumecheng-12394	386	1	kh	kh	PROPN
fumecheng-12394	386	2	.	.	PUNCT
fumecheng-12394	387	1	khudoynazarov	khudoynazarov	PROPN
fumecheng-12394	387	2	3	3	X
fumecheng-12394	387	3	.	.	NOUN
fumecheng-12394	387	4	results	result	NOUN
fumecheng-12394	387	5	and	and	CCONJ
fumecheng-12394	387	6	discussions	discussion	NOUN
fumecheng-12394	387	7	the	the	DET
fumecheng-12394	387	8	obtained	obtain	VERB
fumecheng-12394	387	9	equations	equation	NOUN
fumecheng-12394	387	10	of	of	ADP
fumecheng-12394	387	11	longitudinal	longitudinal	ADJ
fumecheng-12394	387	12	-	-	PUNCT
fumecheng-12394	387	13	radial	radial	ADJ
fumecheng-12394	387	14	vibrations	vibration	NOUN
fumecheng-12394	387	15	of	of	ADP
fumecheng-12394	387	16	a	a	DET
fumecheng-12394	387	17	three	three	NUM
fumecheng-12394	387	18	-	-	PUNCT
fumecheng-12394	387	19	layer	layer	NOUN
fumecheng-12394	387	20	circular	circular	ADJ
fumecheng-12394	387	21	cylindrical	cylindrical	ADJ
fumecheng-12394	387	22	viscoelastic	viscoelastic	NOUN
fumecheng-12394	387	23	shell	shell	NOUN
fumecheng-12394	387	24	,	,	PUNCT
fumecheng-12394	387	25	eqs	eqs	X
fumecheng-12394	387	26	.	.	PUNCT
fumecheng-12394	388	1	(	(	PUNCT
fumecheng-12394	388	2	22	22	NUM
fumecheng-12394	388	3	)	)	PUNCT
fumecheng-12394	388	4	and	and	CCONJ
fumecheng-12394	388	5	(	(	PUNCT
fumecheng-12394	388	6	23	23	NUM
fumecheng-12394	388	7	)	)	PUNCT
fumecheng-12394	388	8	,	,	PUNCT
fumecheng-12394	388	9	are	be	AUX
fumecheng-12394	388	10	general	general	ADJ
fumecheng-12394	388	11	.	.	PUNCT
fumecheng-12394	389	1	in	in	ADP
fumecheng-12394	389	2	the	the	DET
fumecheng-12394	389	3	following	following	NOUN
fumecheng-12394	389	4	,	,	PUNCT
fumecheng-12394	389	5	we	we	PRON
fumecheng-12394	389	6	consider	consider	VERB
fumecheng-12394	389	7	several	several	ADJ
fumecheng-12394	389	8	limiting	limiting	NOUN
fumecheng-12394	389	9	cases	case	NOUN
fumecheng-12394	389	10	and	and	CCONJ
fumecheng-12394	389	11	particular	particular	ADJ
fumecheng-12394	389	12	types	type	NOUN
fumecheng-12394	389	13	of	of	ADP
fumecheng-12394	389	14	vibration	vibration	NOUN
fumecheng-12394	389	15	equations	equation	NOUN
fumecheng-12394	389	16	.	.	PUNCT
fumecheng-12394	390	1	3.1	3.1	NUM
fumecheng-12394	390	2	.	.	PUNCT
fumecheng-12394	390	3	vibrations	vibration	NOUN
fumecheng-12394	390	4	of	of	ADP
fumecheng-12394	390	5	a	a	DET
fumecheng-12394	390	6	two	two	NUM
fumecheng-12394	390	7	-	-	PUNCT
fumecheng-12394	390	8	layer	layer	NOUN
fumecheng-12394	390	9	viscoelastic	viscoelastic	NOUN
fumecheng-12394	390	10	structure	structure	NOUN
fumecheng-12394	390	11	by	by	ADP
fumecheng-12394	390	12	a	a	DET
fumecheng-12394	390	13	layer	layer	NOUN
fumecheng-12394	390	14	,	,	PUNCT
fumecheng-12394	390	15	with	with	ADP
fumecheng-12394	390	16	sticking	stick	VERB
fumecheng-12394	390	17	between	between	ADP
fumecheng-12394	390	18	the	the	DET
fumecheng-12394	390	19	layers	layer	NOUN
fumecheng-12394	390	20	at	at	ADP
fumecheng-12394	390	21	a	a	DET
fumecheng-12394	390	22	=	=	SYM
fumecheng-12394	390	23	r1	r1	NOUN
fumecheng-12394	390	24	the	the	DET
fumecheng-12394	390	25	three	three	NUM
fumecheng-12394	390	26	-	-	PUNCT
fumecheng-12394	390	27	layer	layer	NOUN
fumecheng-12394	390	28	cylindrical	cylindrical	ADJ
fumecheng-12394	390	29	structure	structure	NOUN
fumecheng-12394	390	30	transforms	transform	VERB
fumecheng-12394	390	31	into	into	ADP
fumecheng-12394	390	32	a	a	DET
fumecheng-12394	390	33	two	two	NUM
fumecheng-12394	390	34	-	-	PUNCT
fumecheng-12394	390	35	layer	layer	NOUN
fumecheng-12394	390	36	structure	structure	NOUN
fumecheng-12394	390	37	.	.	PUNCT
fumecheng-12394	391	1	the	the	DET
fumecheng-12394	391	2	intermediate	intermediate	ADJ
fumecheng-12394	391	3	surface	surface	NOUN
fumecheng-12394	391	4	of	of	ADP
fumecheng-12394	391	5	the	the	DET
fumecheng-12394	391	6	structure	structure	NOUN
fumecheng-12394	391	7	of	of	ADP
fumecheng-12394	391	8	radius	radius	NOUN
fumecheng-12394	391	9			NOUN
fumecheng-12394	391	10	passes	pass	VERB
fumecheng-12394	391	11	into	into	ADP
fumecheng-12394	391	12	the	the	DET
fumecheng-12394	391	13	intermediate	intermediate	ADJ
fumecheng-12394	391	14	surface	surface	NOUN
fumecheng-12394	391	15	of	of	ADP
fumecheng-12394	391	16	the	the	DET
fumecheng-12394	391	17	inner	inner	ADJ
fumecheng-12394	391	18	layer	layer	NOUN
fumecheng-12394	391	19	of	of	ADP
fumecheng-12394	391	20	the	the	DET
fumecheng-12394	391	21	structure	structure	NOUN
fumecheng-12394	391	22	.	.	PUNCT
fumecheng-12394	392	1	in	in	ADP
fumecheng-12394	392	2	this	this	DET
fumecheng-12394	392	3	case	case	NOUN
fumecheng-12394	392	4	,	,	PUNCT
fumecheng-12394	392	5	it	it	PRON
fumecheng-12394	392	6	should	should	AUX
fumecheng-12394	392	7	be	be	AUX
fumecheng-12394	392	8	assumed	assume	VERB
fumecheng-12394	392	9	that	that	SCONJ
fumecheng-12394	392	10	the	the	DET
fumecheng-12394	392	11	external	external	ADJ
fumecheng-12394	392	12	action	action	NOUN
fumecheng-12394	392	13	function	function	NOUN
fumecheng-12394	392	14	(	(	PUNCT
fumecheng-12394	392	15	1	1	NUM
fumecheng-12394	392	16	)	)	PUNCT
fumecheng-12394	392	17	(	(	PUNCT
fumecheng-12394	392	18	1	1	NUM
fumecheng-12394	392	19	)	)	PUNCT
fumecheng-12394	392	20	(	(	PUNCT
fumecheng-12394	392	21	,	,	PUNCT
fumecheng-12394	392	22	)	)	PUNCT
fumecheng-12394	392	23	,	,	PUNCT
fumecheng-12394	392	24	(	(	PUNCT
fumecheng-12394	392	25	,	,	PUNCT
fumecheng-12394	392	26	)	)	PUNCT
fumecheng-12394	392	27	r	r	NOUN
fumecheng-12394	392	28	rzf	rzf	NOUN
fumecheng-12394	392	29	z	z	PROPN
fumecheng-12394	392	30	t	t	NOUN
fumecheng-12394	392	31	f	f	PROPN
fumecheng-12394	392	32	z	z	PROPN
fumecheng-12394	392	33	t	t	PROPN
fumecheng-12394	392	34	acts	act	VERB
fumecheng-12394	392	35	on	on	ADP
fumecheng-12394	392	36	the	the	DET
fumecheng-12394	392	37	surface	surface	NOUN
fumecheng-12394	392	38	r	r	NOUN
fumecheng-12394	392	39	=	=	SYM
fumecheng-12394	392	40	r1	r1	PROPN
fumecheng-12394	392	41	and	and	CCONJ
fumecheng-12394	392	42	the	the	DET
fumecheng-12394	392	43	operators	operator	NOUN
fumecheng-12394	392	44	λ1	λ1	X
fumecheng-12394	392	45	=	=	SYM
fumecheng-12394	392	46	0	0	NUM
fumecheng-12394	392	47	,	,	PUNCT
fumecheng-12394	392	48	δ1	δ1	NOUN
fumecheng-12394	392	49	=	=	SYM
fumecheng-12394	393	1	0	0	X
fumecheng-12394	393	2	.	.	PUNCT
fumecheng-12394	394	1	then	then	ADV
fumecheng-12394	394	2	,	,	PUNCT
fumecheng-12394	394	3	from	from	ADP
fumecheng-12394	394	4	the	the	DET
fumecheng-12394	394	5	system	system	NOUN
fumecheng-12394	394	6	of	of	ADP
fumecheng-12394	394	7	eqs	eqs	PROPN
fumecheng-12394	394	8	.	.	PUNCT
fumecheng-12394	395	1	(	(	PUNCT
fumecheng-12394	395	2	22	22	NUM
fumecheng-12394	395	3	)	)	PUNCT
fumecheng-12394	395	4	and	and	CCONJ
fumecheng-12394	395	5	(	(	PUNCT
fumecheng-12394	395	6	23	23	NUM
fumecheng-12394	395	7	)	)	PUNCT
fumecheng-12394	395	8	,	,	PUNCT
fumecheng-12394	395	9	we	we	PRON
fumecheng-12394	395	10	obtain	obtain	VERB
fumecheng-12394	395	11	a	a	DET
fumecheng-12394	395	12	system	system	NOUN
fumecheng-12394	395	13	of	of	ADP
fumecheng-12394	395	14	equations	equation	NOUN
fumecheng-12394	395	15	of	of	ADP
fumecheng-12394	395	16	a	a	DET
fumecheng-12394	395	17	twolayer	twolayer	NOUN
fumecheng-12394	395	18	cylindrical	cylindrical	ADJ
fumecheng-12394	395	19	viscoelastic	viscoelastic	NOUN
fumecheng-12394	395	20	structure	structure	NOUN
fumecheng-12394	395	21	.	.	PUNCT
fumecheng-12394	396	1	similarly	similarly	ADV
fumecheng-12394	396	2	,	,	PUNCT
fumecheng-12394	396	3	it	it	PRON
fumecheng-12394	396	4	is	be	AUX
fumecheng-12394	396	5	possible	possible	ADJ
fumecheng-12394	396	6	to	to	PART
fumecheng-12394	396	7	obtain	obtain	VERB
fumecheng-12394	396	8	a	a	DET
fumecheng-12394	396	9	system	system	NOUN
fumecheng-12394	396	10	of	of	ADP
fumecheng-12394	396	11	equations	equation	NOUN
fumecheng-12394	396	12	of	of	ADP
fumecheng-12394	396	13	longitudinal	longitudinal	ADJ
fumecheng-12394	396	14	-	-	PUNCT
fumecheng-12394	396	15	radial	radial	ADJ
fumecheng-12394	396	16	vibrations	vibration	NOUN
fumecheng-12394	396	17	of	of	ADP
fumecheng-12394	396	18	a	a	DET
fumecheng-12394	396	19	two	two	NUM
fumecheng-12394	396	20	-	-	PUNCT
fumecheng-12394	396	21	layer	layer	NOUN
fumecheng-12394	396	22	cylindrical	cylindrical	ADJ
fumecheng-12394	396	23	viscoelastic	viscoelastic	NOUN
fumecheng-12394	396	24	structure	structure	NOUN
fumecheng-12394	396	25	,	,	PUNCT
fumecheng-12394	396	26	where	where	SCONJ
fumecheng-12394	396	27	the	the	DET
fumecheng-12394	396	28	main	main	ADJ
fumecheng-12394	396	29	unknowns	unknown	NOUN
fumecheng-12394	396	30	will	will	AUX
fumecheng-12394	396	31	be	be	AUX
fumecheng-12394	396	32	the	the	DET
fumecheng-12394	396	33	main	main	ADJ
fumecheng-12394	396	34	parts	part	NOUN
fumecheng-12394	396	35	of	of	ADP
fumecheng-12394	396	36	the	the	DET
fumecheng-12394	396	37	longitudinal	longitudinal	ADJ
fumecheng-12394	396	38	-	-	PUNCT
fumecheng-12394	396	39	radial	radial	ADJ
fumecheng-12394	396	40	displacements	displacement	NOUN
fumecheng-12394	396	41	of	of	ADP
fumecheng-12394	396	42	the	the	DET
fumecheng-12394	396	43	intermediate	intermediate	ADJ
fumecheng-12394	396	44	surface	surface	NOUN
fumecheng-12394	396	45	of	of	ADP
fumecheng-12394	396	46	the	the	DET
fumecheng-12394	396	47	outer	outer	ADJ
fumecheng-12394	396	48	layer	layer	NOUN
fumecheng-12394	396	49	.	.	PUNCT
fumecheng-12394	397	1	to	to	PART
fumecheng-12394	397	2	do	do	VERB
fumecheng-12394	397	3	this	this	PRON
fumecheng-12394	397	4	,	,	PUNCT
fumecheng-12394	397	5	it	it	PRON
fumecheng-12394	397	6	is	be	AUX
fumecheng-12394	397	7	enough	enough	ADJ
fumecheng-12394	397	8	to	to	PART
fumecheng-12394	397	9	assume	assume	VERB
fumecheng-12394	397	10	that	that	SCONJ
fumecheng-12394	397	11	there	there	PRON
fumecheng-12394	397	12	is	be	VERB
fumecheng-12394	397	13	no	no	DET
fumecheng-12394	397	14	outer	outer	ADJ
fumecheng-12394	397	15	layer	layer	NOUN
fumecheng-12394	397	16	and	and	CCONJ
fumecheng-12394	397	17	put	put	VERB
fumecheng-12394	397	18	b	b	NOUN
fumecheng-12394	397	19	=	=	SYM
fumecheng-12394	397	20	r2	r2	PROPN
fumecheng-12394	397	21	assume	assume	VERB
fumecheng-12394	397	22	that	that	SCONJ
fumecheng-12394	397	23	the	the	DET
fumecheng-12394	397	24	functions	function	NOUN
fumecheng-12394	397	25	of	of	ADP
fumecheng-12394	397	26	external	external	ADJ
fumecheng-12394	397	27	action	action	NOUN
fumecheng-12394	397	28	(	(	PUNCT
fumecheng-12394	397	29	2	2	NUM
fumecheng-12394	397	30	)	)	PUNCT
fumecheng-12394	397	31	(	(	PUNCT
fumecheng-12394	397	32	2	2	NUM
fumecheng-12394	397	33	)	)	PUNCT
fumecheng-12394	397	34	(	(	PUNCT
fumecheng-12394	397	35	,	,	PUNCT
fumecheng-12394	397	36	)	)	PUNCT
fumecheng-12394	397	37	,	,	PUNCT
fumecheng-12394	397	38	(	(	PUNCT
fumecheng-12394	397	39	,	,	PUNCT
fumecheng-12394	397	40	)	)	PUNCT
fumecheng-12394	397	41	r	r	NOUN
fumecheng-12394	397	42	rzf	rzf	NOUN
fumecheng-12394	397	43	z	z	PROPN
fumecheng-12394	397	44	t	t	NOUN
fumecheng-12394	397	45	f	f	PROPN
fumecheng-12394	397	46	z	z	PROPN
fumecheng-12394	397	47	t	t	PROPN
fumecheng-12394	397	48	act	act	NOUN
fumecheng-12394	397	49	on	on	ADP
fumecheng-12394	397	50	the	the	DET
fumecheng-12394	397	51	surface	surface	NOUN
fumecheng-12394	397	52	r	r	NOUN
fumecheng-12394	397	53	=	=	SYM
fumecheng-12394	397	54	r2	r2	NOUN
fumecheng-12394	397	55	,	,	PUNCT
fumecheng-12394	397	56	and	and	CCONJ
fumecheng-12394	397	57	the	the	DET
fumecheng-12394	397	58	operators	operator	NOUN
fumecheng-12394	397	59	λ2	λ2	NOUN
fumecheng-12394	397	60	=	=	SYM
fumecheng-12394	397	61	0	0	NUM
fumecheng-12394	397	62	,	,	PUNCT
fumecheng-12394	397	63	δ2	δ2	VERB
fumecheng-12394	397	64	=	=	NOUN
fumecheng-12394	397	65	0	0	NUM
fumecheng-12394	397	66	.	.	PUNCT
fumecheng-12394	398	1	if	if	SCONJ
fumecheng-12394	398	2	there	there	PRON
fumecheng-12394	398	3	are	be	VERB
fumecheng-12394	398	4	no	no	DET
fumecheng-12394	398	5	inner	inner	ADJ
fumecheng-12394	398	6	and	and	CCONJ
fumecheng-12394	398	7	outer	outer	ADJ
fumecheng-12394	398	8	layers	layer	NOUN
fumecheng-12394	398	9	of	of	ADP
fumecheng-12394	398	10	the	the	DET
fumecheng-12394	398	11	cylindrical	cylindrical	ADJ
fumecheng-12394	398	12	structure	structure	NOUN
fumecheng-12394	398	13	,	,	PUNCT
fumecheng-12394	398	14	i.e.	i.e.	X
fumecheng-12394	398	15	it	it	PRON
fumecheng-12394	398	16	is	be	AUX
fumecheng-12394	398	17	homogeneous	homogeneous	ADJ
fumecheng-12394	398	18	(	(	PUNCT
fumecheng-12394	398	19	single	single	ADJ
fumecheng-12394	398	20	-	-	PUNCT
fumecheng-12394	398	21	layer	layer	NOUN
fumecheng-12394	398	22	)	)	PUNCT
fumecheng-12394	398	23	,	,	PUNCT
fumecheng-12394	398	24	then	then	ADV
fumecheng-12394	398	25	a	a	DET
fumecheng-12394	398	26	=	=	PUNCT
fumecheng-12394	398	27	r1	r1	PROPN
fumecheng-12394	398	28	,	,	PUNCT
fumecheng-12394	398	29	b	b	NOUN
fumecheng-12394	398	30	=	=	SYM
fumecheng-12394	398	31	r2	r2	PROPN
fumecheng-12394	398	32	and	and	CCONJ
fumecheng-12394	398	33	λi	λi	NOUN
fumecheng-12394	398	34	=	=	NOUN
fumecheng-12394	398	35	0	0	NUM
fumecheng-12394	398	36	,	,	PUNCT
fumecheng-12394	398	37	δi	δi	VERB
fumecheng-12394	398	38	=	=	SYM
fumecheng-12394	398	39	(	(	PUNCT
fumecheng-12394	398	40	i=1,2	i=1,2	ADJ
fumecheng-12394	398	41	)	)	PUNCT
fumecheng-12394	398	42	should	should	AUX
fumecheng-12394	398	43	be	be	AUX
fumecheng-12394	398	44	put	put	VERB
fumecheng-12394	398	45	into	into	ADP
fumecheng-12394	398	46	general	general	PROPN
fumecheng-12394	398	47	eqs	eqs	PROPN
fumecheng-12394	398	48	.	.	PUNCT
fumecheng-12394	399	1	(	(	PUNCT
fumecheng-12394	399	2	22	22	NUM
fumecheng-12394	399	3	)	)	PUNCT
fumecheng-12394	399	4	and	and	CCONJ
fumecheng-12394	399	5	(	(	PUNCT
fumecheng-12394	399	6	23	23	NUM
fumecheng-12394	399	7	)	)	PUNCT
fumecheng-12394	399	8	.	.	PUNCT
fumecheng-12394	400	1	in	in	ADP
fumecheng-12394	400	2	this	this	DET
fumecheng-12394	400	3	case	case	NOUN
fumecheng-12394	400	4	,	,	PUNCT
fumecheng-12394	400	5	we	we	PRON
fumecheng-12394	400	6	will	will	AUX
fumecheng-12394	400	7	have	have	VERB
fumecheng-12394	400	8	a	a	DET
fumecheng-12394	400	9	system	system	NOUN
fumecheng-12394	400	10	of	of	ADP
fumecheng-12394	400	11	equations	equation	NOUN
fumecheng-12394	400	12	for	for	ADP
fumecheng-12394	400	13	longitudinal	longitudinal	ADJ
fumecheng-12394	400	14	-	-	PUNCT
fumecheng-12394	400	15	radial	radial	ADJ
fumecheng-12394	400	16	vibrations	vibration	NOUN
fumecheng-12394	400	17	of	of	ADP
fumecheng-12394	400	18	a	a	DET
fumecheng-12394	400	19	cylindrical	cylindrical	ADJ
fumecheng-12394	400	20	homogeneous	homogeneous	ADJ
fumecheng-12394	400	21	layer	layer	NOUN
fumecheng-12394	400	22	,	,	PUNCT
fumecheng-12394	400	23	which	which	PRON
fumecheng-12394	400	24	exactly	exactly	ADV
fumecheng-12394	400	25	coincides	coincide	VERB
fumecheng-12394	400	26	with	with	ADP
fumecheng-12394	400	27	the	the	DET
fumecheng-12394	400	28	system	system	NOUN
fumecheng-12394	400	29	of	of	ADP
fumecheng-12394	400	30	equations	equation	NOUN
fumecheng-12394	400	31	derived	derive	VERB
fumecheng-12394	400	32	by	by	ADP
fumecheng-12394	400	33	khudoynazarov	khudoynazarov	PROPN
fumecheng-12394	400	34	et	et	PROPN
fumecheng-12394	400	35	al	al	PROPN
fumecheng-12394	400	36	.	.	PUNCT
fumecheng-12394	401	1	[	[	X
fumecheng-12394	401	2	19	19	NUM
fumecheng-12394	401	3	]	]	PUNCT
fumecheng-12394	401	4	.	.	PUNCT
fumecheng-12394	402	1	3.2	3.2	NUM
fumecheng-12394	402	2	.	.	PUNCT
fumecheng-12394	403	1	a	a	DET
fumecheng-12394	403	2	three	three	NUM
fumecheng-12394	403	3	-	-	PUNCT
fumecheng-12394	403	4	layer	layer	NOUN
fumecheng-12394	403	5	cylindrical	cylindrical	ADJ
fumecheng-12394	403	6	viscoelastic	viscoelastic	NOUN
fumecheng-12394	403	7	structure	structure	NOUN
fumecheng-12394	403	8	with	with	ADP
fumecheng-12394	403	9	a	a	DET
fumecheng-12394	403	10	thin	thin	ADJ
fumecheng-12394	403	11	middle	middle	ADJ
fumecheng-12394	403	12	layer	layer	NOUN
fumecheng-12394	403	13	and	and	CCONJ
fumecheng-12394	403	14	rigid	rigid	ADJ
fumecheng-12394	403	15	contacts	contact	NOUN
fumecheng-12394	403	16	between	between	ADP
fumecheng-12394	403	17	the	the	DET
fumecheng-12394	403	18	layers	layer	NOUN
fumecheng-12394	403	19	if	if	SCONJ
fumecheng-12394	403	20	r2	r2	PROPN
fumecheng-12394	403	21	=	=	SYM
fumecheng-12394	403	22	r1(1+ε	r1(1+ε	PROPN
fumecheng-12394	403	23	)	)	PUNCT
fumecheng-12394	403	24	,	,	PUNCT
fumecheng-12394	403	25	where	where	SCONJ
fumecheng-12394	403	26	ε	ε	PROPN
fumecheng-12394	403	27	>	>	X
fumecheng-12394	403	28	0	0	NUM
fumecheng-12394	403	29	is	be	AUX
fumecheng-12394	403	30	a	a	DET
fumecheng-12394	403	31	small	small	ADJ
fumecheng-12394	403	32	parameter	parameter	NOUN
fumecheng-12394	403	33	,	,	PUNCT
fumecheng-12394	403	34	then	then	ADV
fumecheng-12394	403	35	the	the	DET
fumecheng-12394	403	36	middle	middle	ADJ
fumecheng-12394	403	37	layer	layer	NOUN
fumecheng-12394	403	38	of	of	ADP
fumecheng-12394	403	39	the	the	DET
fumecheng-12394	403	40	structure	structure	NOUN
fumecheng-12394	403	41	is	be	AUX
fumecheng-12394	403	42	thin	thin	ADJ
fumecheng-12394	403	43	(	(	PUNCT
fumecheng-12394	403	44	for	for	ADP
fumecheng-12394	403	45	example	example	NOUN
fumecheng-12394	403	46	,	,	PUNCT
fumecheng-12394	403	47	a	a	DET
fumecheng-12394	403	48	thin	thin	ADJ
fumecheng-12394	403	49	layer	layer	NOUN
fumecheng-12394	403	50	of	of	ADP
fumecheng-12394	403	51	glue	glue	NOUN
fumecheng-12394	403	52	,	,	PUNCT
fumecheng-12394	403	53	usually	usually	ADV
fumecheng-12394	403	54	applied	apply	VERB
fumecheng-12394	403	55	between	between	ADP
fumecheng-12394	403	56	layers	layer	NOUN
fumecheng-12394	403	57	)	)	PUNCT
fumecheng-12394	403	58	.	.	PUNCT
fumecheng-12394	404	1	in	in	ADP
fumecheng-12394	404	2	this	this	DET
fumecheng-12394	404	3	case	case	NOUN
fumecheng-12394	404	4	,	,	PUNCT
fumecheng-12394	404	5	the	the	DET
fumecheng-12394	404	6	values	value	NOUN
fumecheng-12394	404	7	of	of	ADP
fumecheng-12394	404	8	ln(ri	ln(ri	NOUN
fumecheng-12394	404	9	/	/	SYM
fumecheng-12394	404	10	ε	ε	PROPN
fumecheng-12394	404	11	)	)	PUNCT
fumecheng-12394	404	12	can	can	AUX
fumecheng-12394	404	13	be	be	AUX
fumecheng-12394	404	14	assumed	assume	VERB
fumecheng-12394	404	15	to	to	PART
fumecheng-12394	404	16	be	be	AUX
fumecheng-12394	404	17	zero	zero	NUM
fumecheng-12394	404	18	.	.	PUNCT
fumecheng-12394	405	1	then	then	ADV
fumecheng-12394	405	2	eq	eq	X
fumecheng-12394	405	3	.	.	PUNCT
fumecheng-12394	406	1	(	(	PUNCT
fumecheng-12394	406	2	19	19	NUM
fumecheng-12394	406	3	)	)	PUNCT
fumecheng-12394	406	4	for	for	ADP
fumecheng-12394	406	5	η3,n(ri	η3,n(ri	NOUN
fumecheng-12394	406	6	)	)	PUNCT
fumecheng-12394	406	7	is	be	AUX
fumecheng-12394	406	8	simplified	simplify	VERB
fumecheng-12394	406	9	and	and	CCONJ
fumecheng-12394	406	10	takes	take	VERB
fumecheng-12394	406	11	the	the	DET
fumecheng-12394	406	12	form	form	NOUN
fumecheng-12394	406	13	:	:	PUNCT
fumecheng-12394	406	14	(	(	PUNCT
fumecheng-12394	406	15	)	)	PUNCT
fumecheng-12394	406	16	3	3	NUM
fumecheng-12394	406	17	,	,	PUNCT
fumecheng-12394	406	18	1	1	NUM
fumecheng-12394	406	19	1	1	NUM
fumecheng-12394	406	20	1	1	NUM
fumecheng-12394	406	21	,	,	PUNCT
fumecheng-12394	406	22	0,1,2	0,1,2	NUM
fumecheng-12394	406	23	,	,	PUNCT
fumecheng-12394	406	24	...	...	PUNCT
fumecheng-12394	406	25	,	,	PUNCT
fumecheng-12394	407	1	1,2	1,2	NUM
fumecheng-12394	407	2	.	.	NOUN
fumecheng-12394	407	3	2	2	NUM
fumecheng-12394	407	4	n	n	NUM
fumecheng-12394	407	5	n	n	NOUN
fumecheng-12394	408	1	i	i	NOUN
fumecheng-12394	408	2	k	k	NOUN
fumecheng-12394	409	1	r	r	NOUN
fumecheng-12394	409	2	n	n	NOUN
fumecheng-12394	410	1	i	i	PRON
fumecheng-12394	410	2	k=	k=	VERB
fumecheng-12394	411	1	=	=	PUNCT
fumecheng-12394	411	2	−	−	PROPN
fumecheng-12394	411	3	=	=	SYM
fumecheng-12394	412	1	=	=	SYM
fumecheng-12394	412	2			PROPN
fumecheng-12394	412	3	(	(	PUNCT
fumecheng-12394	412	4	32	32	NUM
fumecheng-12394	412	5	)	)	PUNCT
fumecheng-12394	412	6	consequently	consequently	ADV
fumecheng-12394	412	7	,	,	PUNCT
fumecheng-12394	412	8	eqs	eqs	PROPN
fumecheng-12394	412	9	.	.	PUNCT
fumecheng-12394	413	1	(	(	PUNCT
fumecheng-12394	413	2	22	22	NUM
fumecheng-12394	413	3	)	)	PUNCT
fumecheng-12394	413	4	and	and	CCONJ
fumecheng-12394	413	5	(	(	PUNCT
fumecheng-12394	413	6	23	23	NUM
fumecheng-12394	413	7	)	)	PUNCT
fumecheng-12394	413	8	are	be	AUX
fumecheng-12394	413	9	also	also	ADV
fumecheng-12394	413	10	equations	equation	NOUN
fumecheng-12394	413	11	of	of	ADP
fumecheng-12394	413	12	longitudinal	longitudinal	ADJ
fumecheng-12394	413	13	-	-	PUNCT
fumecheng-12394	413	14	radial	radial	ADJ
fumecheng-12394	413	15	vibrations	vibration	NOUN
fumecheng-12394	413	16	of	of	ADP
fumecheng-12394	413	17	a	a	DET
fumecheng-12394	413	18	three	three	NUM
fumecheng-12394	413	19	-	-	PUNCT
fumecheng-12394	413	20	layer	layer	NOUN
fumecheng-12394	413	21	cylindrical	cylindrical	ADJ
fumecheng-12394	413	22	structure	structure	NOUN
fumecheng-12394	413	23	with	with	ADP
fumecheng-12394	413	24	a	a	DET
fumecheng-12394	413	25	thin	thin	ADJ
fumecheng-12394	413	26	middle	middle	ADJ
fumecheng-12394	413	27	layer	layer	NOUN
fumecheng-12394	413	28	,	,	PUNCT
fumecheng-12394	413	29	but	but	CCONJ
fumecheng-12394	413	30	with	with	ADP
fumecheng-12394	413	31	a	a	DET
fumecheng-12394	413	32	different	different	ADJ
fumecheng-12394	413	33	value	value	NOUN
fumecheng-12394	413	34	for	for	ADP
fumecheng-12394	413	35	η3,n(ri	η3,n(ri	NOUN
fumecheng-12394	413	36	)	)	PUNCT
fumecheng-12394	413	37	,	,	PUNCT
fumecheng-12394	413	38	determined	determine	VERB
fumecheng-12394	413	39	by	by	ADP
fumecheng-12394	413	40	eq	eq	PROPN
fumecheng-12394	413	41	.	.	PUNCT
fumecheng-12394	414	1	(	(	PUNCT
fumecheng-12394	414	2	32	32	NUM
fumecheng-12394	414	3	)	)	PUNCT
fumecheng-12394	414	4	.	.	PUNCT
fumecheng-12394	415	1	3.3	3.3	NUM
fumecheng-12394	415	2	.	.	PUNCT
fumecheng-12394	416	1	three	three	NUM
fumecheng-12394	416	2	-	-	PUNCT
fumecheng-12394	416	3	layer	layer	NOUN
fumecheng-12394	416	4	cylindrical	cylindrical	ADJ
fumecheng-12394	416	5	elastic	elastic	ADJ
fumecheng-12394	416	6	structure	structure	NOUN
fumecheng-12394	416	7	with	with	ADP
fumecheng-12394	416	8	sticking	stick	VERB
fumecheng-12394	416	9	between	between	ADP
fumecheng-12394	416	10	layers	layer	NOUN
fumecheng-12394	416	11	if	if	SCONJ
fumecheng-12394	416	12	the	the	DET
fumecheng-12394	416	13	materials	material	NOUN
fumecheng-12394	416	14	of	of	ADP
fumecheng-12394	416	15	the	the	DET
fumecheng-12394	416	16	layers	layer	NOUN
fumecheng-12394	416	17	are	be	AUX
fumecheng-12394	416	18	elastic	elastic	ADJ
fumecheng-12394	416	19	,	,	PUNCT
fumecheng-12394	416	20	then	then	ADV
fumecheng-12394	416	21	the	the	DET
fumecheng-12394	416	22	expressions	expression	NOUN
fumecheng-12394	416	23	for	for	ADP
fumecheng-12394	416	24	viscoelastic	viscoelastic	ADJ
fumecheng-12394	416	25	operators	operator	NOUN
fumecheng-12394	416	26	will	will	AUX
fumecheng-12394	416	27	have	have	VERB
fumecheng-12394	416	28	the	the	DET
fumecheng-12394	416	29	equality	equality	NOUN
fumecheng-12394	416	30	kμm(t)=0	kμm(t)=0	NOUN
fumecheng-12394	416	31	,	,	PUNCT
fumecheng-12394	416	32	and	and	CCONJ
fumecheng-12394	416	33	therefore	therefore	ADV
fumecheng-12394	416	34	we	we	PRON
fumecheng-12394	416	35	will	will	AUX
fumecheng-12394	416	36	have	have	VERB
fumecheng-12394	416	37	ь	ь	ADJ
fumecheng-12394	416	38	mr	mr	PROPN
fumecheng-12394	416	39	=	=	NOUN
fumecheng-12394	416	40			NOUN
fumecheng-12394	416	41			NOUN
fumecheng-12394	416	42	.	.	PUNCT
fumecheng-12394	417	1	then	then	ADV
fumecheng-12394	417	2	we	we	PRON
fumecheng-12394	417	3	get	get	VERB
fumecheng-12394	417	4	a	a	DET
fumecheng-12394	417	5	system	system	NOUN
fumecheng-12394	417	6	of	of	ADP
fumecheng-12394	417	7	equations	equation	NOUN
fumecheng-12394	417	8	that	that	PRON
fumecheng-12394	417	9	coincides	coincide	VERB
fumecheng-12394	417	10	in	in	ADP
fumecheng-12394	417	11	structure	structure	NOUN
fumecheng-12394	417	12	with	with	ADP
fumecheng-12394	417	13	the	the	DET
fumecheng-12394	417	14	system	system	NOUN
fumecheng-12394	417	15	of	of	ADP
fumecheng-12394	417	16	eqs	eqs	PROPN
fumecheng-12394	417	17	.	.	PUNCT
fumecheng-12394	418	1	(	(	PUNCT
fumecheng-12394	418	2	22	22	NUM
fumecheng-12394	418	3	)	)	PUNCT
fumecheng-12394	418	4	and	and	CCONJ
fumecheng-12394	418	5	(	(	PUNCT
fumecheng-12394	418	6	23	23	NUM
fumecheng-12394	418	7	)	)	PUNCT
fumecheng-12394	418	8	,	,	PUNCT
fumecheng-12394	418	9	where	where	SCONJ
fumecheng-12394	418	10	the	the	DET
fumecheng-12394	418	11	integral	integral	ADJ
fumecheng-12394	418	12	operators	operator	NOUN
fumecheng-12394	418	13	i	i	PRON
fumecheng-12394	418	14	r	r	NUM
fumecheng-12394	418	15	,	,	PUNCT
fumecheng-12394	418	16	i=1,2	i=1,2	ADJ
fumecheng-12394	418	17	,	,	PUNCT
fumecheng-12394	418	18	are	be	AUX
fumecheng-12394	418	19	replaced	replace	VERB
fumecheng-12394	418	20	by	by	ADP
fumecheng-12394	418	21	the	the	DET
fumecheng-12394	418	22	lame	lame	ADJ
fumecheng-12394	418	23	coefficients	coefficient	NOUN
fumecheng-12394	418	24	μ1	μ1	PROPN
fumecheng-12394	418	25	and	and	CCONJ
fumecheng-12394	418	26	μ2	μ2	NOUN
fumecheng-12394	418	27	,	,	PUNCT
fumecheng-12394	418	28	respectively	respectively	ADV
fumecheng-12394	418	29	.	.	PUNCT
fumecheng-12394	419	1	longitudinal	longitudinal	ADJ
fumecheng-12394	419	2	-	-	PUNCT
fumecheng-12394	419	3	radial	radial	ADJ
fumecheng-12394	419	4	vibrations	vibration	NOUN
fumecheng-12394	419	5	of	of	ADP
fumecheng-12394	419	6	a	a	DET
fumecheng-12394	419	7	viscoelastic	viscoelastic	ADJ
fumecheng-12394	419	8	cylindrical	cylindrical	ADJ
fumecheng-12394	419	9	three	three	NUM
fumecheng-12394	419	10	-	-	PUNCT
fumecheng-12394	419	11	layer	layer	NOUN
fumecheng-12394	419	12	structure	structure	NOUN
fumecheng-12394	419	13	483	483	NUM
fumecheng-12394	419	14	in	in	ADP
fumecheng-12394	419	15	this	this	DET
fumecheng-12394	419	16	case	case	NOUN
fumecheng-12394	419	17	,	,	PUNCT
fumecheng-12394	419	18	the	the	DET
fumecheng-12394	419	19	integral	integral	ADJ
fumecheng-12394	419	20	-	-	PUNCT
fumecheng-12394	419	21	differential	differential	NOUN
fumecheng-12394	419	22	operators	operator	NOUN
fumecheng-12394	419	23	(	(	PUNCT
fumecheng-12394	419	24	)	)	PUNCT
fumecheng-12394	419	25	n	n	X
fumecheng-12394	419	26	m	m	PROPN
fumecheng-12394	419	27			NOUN
fumecheng-12394	419	28	and	and	CCONJ
fumecheng-12394	419	29	(	(	PUNCT
fumecheng-12394	419	30	)	)	PUNCT
fumecheng-12394	419	31	n	n	X
fumecheng-12394	419	32	m	m	NOUN
fumecheng-12394	419	33			NOUN
fumecheng-12394	419	34	,	,	PUNCT
fumecheng-12394	419	35	defined	define	VERB
fumecheng-12394	419	36	by	by	ADP
fumecheng-12394	419	37	eqs	eqs	PROPN
fumecheng-12394	419	38	.	.	PUNCT
fumecheng-12394	420	1	(	(	PUNCT
fumecheng-12394	420	2	25	25	NUM
fumecheng-12394	420	3	)	)	PUNCT
fumecheng-12394	420	4	,	,	PUNCT
fumecheng-12394	420	5	pass	pass	VERB
fumecheng-12394	420	6	into	into	ADP
fumecheng-12394	420	7	the	the	DET
fumecheng-12394	420	8	following	follow	VERB
fumecheng-12394	420	9	differential	differential	ADJ
fumecheng-12394	420	10	operators	operator	NOUN
fumecheng-12394	420	11	:	:	PUNCT
fumecheng-12394	420	12	2	2	NUM
fumecheng-12394	420	13	2	2	NUM
fumecheng-12394	420	14	2	2	NUM
fumecheng-12394	420	15	2	2	NUM
fumecheng-12394	420	16	2	2	NUM
fumecheng-12394	420	17	2	2	NUM
fumecheng-12394	420	18	2	2	NUM
fumecheng-12394	420	19	2	2	NUM
fumecheng-12394	420	20	2	2	NUM
fumecheng-12394	420	21	2	2	NUM
fumecheng-12394	420	22	1	1	NUM
fumecheng-12394	420	23	1	1	NUM
fumecheng-12394	420	24	(	(	PUNCT
fumecheng-12394	420	25	)	)	PUNCT
fumecheng-12394	420	26	,	,	PUNCT
fumecheng-12394	420	27	(	(	PUNCT
fumecheng-12394	420	28	)	)	PUNCT
fumecheng-12394	420	29	,	,	PUNCT
fumecheng-12394	420	30	1,2,3	1,2,3	NUM
fumecheng-12394	420	31	,	,	PUNCT
fumecheng-12394	420	32	...	...	PUNCT
fumecheng-12394	420	33	n	n	CCONJ
fumecheng-12394	420	34	n	n	CCONJ
fumecheng-12394	420	35	n	n	CCONJ
fumecheng-12394	420	36	n	n	ADV
fumecheng-12394	420	37	m	m	VERB
fumecheng-12394	420	38	m	m	VERB
fumecheng-12394	420	39	m	m	VERB
fumecheng-12394	420	40	m	m	VERB
fumecheng-12394	420	41	n	n	PRON
fumecheng-12394	420	42	b	b	PROPN
fumecheng-12394	420	43	t	t	PROPN
fumecheng-12394	420	44	z	z	PROPN
fumecheng-12394	420	45	a	a	DET
fumecheng-12394	420	46	t	t	PROPN
fumecheng-12394	420	47	z	z	PROPN
fumecheng-12394	420	48			PROPN
fumecheng-12394	420	49			INTJ
fumecheng-12394	421	1			PROPN
fumecheng-12394	421	2			PROPN
fumecheng-12394	421	3			PROPN
fumecheng-12394	421	4			NOUN
fumecheng-12394	421	5			NOUN
fumecheng-12394	421	6			ADJ
fumecheng-12394	421	7			ADJ
fumecheng-12394	421	8			PROPN
fumecheng-12394	421	9	=	=	SYM
fumecheng-12394	421	10	−	−	PROPN
fumecheng-12394	421	11	=	=	PUNCT
fumecheng-12394	422	1	−	−	PROPN
fumecheng-12394	422	2	=	=	SYM
fumecheng-12394	422	3			NOUN
fumecheng-12394	422	4			NOUN
fumecheng-12394	422	5			NOUN
fumecheng-12394	422	6			NOUN
fumecheng-12394	423	1			PROPN
fumecheng-12394	424	1			PROPN
fumecheng-12394	425	1			PROPN
fumecheng-12394	425	2			ADJ
fumecheng-12394	425	3			ADJ
fumecheng-12394	425	4			PROPN
fumecheng-12394	425	5			VERB
fumecheng-12394	425	6			PROPN
fumecheng-12394	425	7			NOUN
fumecheng-12394	425	8			NOUN
fumecheng-12394	425	9			NOUN
fumecheng-12394	426	1			PROPN
fumecheng-12394	426	2			PROPN
fumecheng-12394	426	3			PROPN
fumecheng-12394	426	4			VERB
fumecheng-12394	426	5			PROPN
fumecheng-12394	427	1			NOUN
fumecheng-12394	428	1			X
fumecheng-12394	428	2			X
fumecheng-12394	428	3			X
fumecheng-12394	428	4			X
fumecheng-12394	428	5			PROPN
fumecheng-12394	428	6			NUM
fumecheng-12394	428	7			X
fumecheng-12394	428	8	the	the	DET
fumecheng-12394	428	9	results	result	NOUN
fumecheng-12394	428	10	obtained	obtain	VERB
fumecheng-12394	428	11	coincide	coincide	NOUN
fumecheng-12394	428	12	with	with	ADP
fumecheng-12394	428	13	the	the	DET
fumecheng-12394	428	14	results	result	NOUN
fumecheng-12394	428	15	by	by	ADP
fumecheng-12394	428	16	filippov	filippov	NOUN
fumecheng-12394	428	17	and	and	CCONJ
fumecheng-12394	428	18	filippov	filippov	NOUN
fumecheng-12394	428	19	[	[	X
fumecheng-12394	428	20	20	20	NUM
fumecheng-12394	428	21	]	]	PUNCT
fumecheng-12394	428	22	.	.	PUNCT
fumecheng-12394	429	1	in	in	ADP
fumecheng-12394	429	2	particular	particular	ADJ
fumecheng-12394	429	3	cases	case	NOUN
fumecheng-12394	429	4	,	,	PUNCT
fumecheng-12394	429	5	from	from	ADP
fumecheng-12394	429	6	the	the	DET
fumecheng-12394	429	7	equations	equation	NOUN
fumecheng-12394	429	8	obtained	obtain	VERB
fumecheng-12394	429	9	in	in	ADP
fumecheng-12394	429	10	this	this	DET
fumecheng-12394	429	11	way	way	NOUN
fumecheng-12394	429	12	,	,	PUNCT
fumecheng-12394	429	13	it	it	PRON
fumecheng-12394	429	14	is	be	AUX
fumecheng-12394	429	15	easy	easy	ADJ
fumecheng-12394	429	16	to	to	PART
fumecheng-12394	429	17	obtain	obtain	VERB
fumecheng-12394	429	18	equations	equation	NOUN
fumecheng-12394	429	19	of	of	ADP
fumecheng-12394	429	20	a	a	DET
fumecheng-12394	429	21	two	two	NUM
fumecheng-12394	429	22	-	-	PUNCT
fumecheng-12394	429	23	layer	layer	NOUN
fumecheng-12394	429	24	elastic	elastic	ADJ
fumecheng-12394	429	25	structure	structure	NOUN
fumecheng-12394	429	26	and	and	CCONJ
fumecheng-12394	429	27	a	a	DET
fumecheng-12394	429	28	three	three	NUM
fumecheng-12394	429	29	-	-	PUNCT
fumecheng-12394	429	30	layer	layer	NOUN
fumecheng-12394	429	31	elastic	elastic	ADJ
fumecheng-12394	429	32	structure	structure	NOUN
fumecheng-12394	429	33	with	with	ADP
fumecheng-12394	429	34	a	a	DET
fumecheng-12394	429	35	thin	thin	ADJ
fumecheng-12394	429	36	middle	middle	ADJ
fumecheng-12394	429	37	layer	layer	NOUN
fumecheng-12394	429	38	,	,	PUNCT
fumecheng-12394	429	39	like	like	ADP
fumecheng-12394	429	40	the	the	DET
fumecheng-12394	429	41	limiting	limit	VERB
fumecheng-12394	429	42	cases	case	NOUN
fumecheng-12394	429	43	discussed	discuss	VERB
fumecheng-12394	429	44	above	above	ADV
fumecheng-12394	429	45	.	.	PUNCT
fumecheng-12394	430	1	4	4	X
fumecheng-12394	430	2	.	.	X
fumecheng-12394	430	3	conclusions	conclusion	NOUN
fumecheng-12394	430	4	a	a	DET
fumecheng-12394	430	5	new	new	ADJ
fumecheng-12394	430	6	mathematical	mathematical	ADJ
fumecheng-12394	430	7	model	model	NOUN
fumecheng-12394	430	8	of	of	ADP
fumecheng-12394	430	9	longitudinal	longitudinal	ADJ
fumecheng-12394	430	10	-	-	PUNCT
fumecheng-12394	430	11	radial	radial	ADJ
fumecheng-12394	430	12	vibrations	vibration	NOUN
fumecheng-12394	430	13	of	of	ADP
fumecheng-12394	430	14	a	a	DET
fumecheng-12394	430	15	circular	circular	ADJ
fumecheng-12394	430	16	cylindrical	cylindrical	ADJ
fumecheng-12394	430	17	three	three	NUM
fumecheng-12394	430	18	-	-	PUNCT
fumecheng-12394	430	19	layer	layer	NOUN
fumecheng-12394	430	20	viscoelastic	viscoelastic	ADJ
fumecheng-12394	430	21	structure	structure	NOUN
fumecheng-12394	430	22	with	with	ADP
fumecheng-12394	430	23	sticking	stick	VERB
fumecheng-12394	430	24	condition	condition	NOUN
fumecheng-12394	430	25	between	between	ADP
fumecheng-12394	430	26	the	the	DET
fumecheng-12394	430	27	layers	layer	NOUN
fumecheng-12394	430	28	is	be	AUX
fumecheng-12394	430	29	proposed	propose	VERB
fumecheng-12394	430	30	.	.	PUNCT
fumecheng-12394	431	1	the	the	DET
fumecheng-12394	431	2	model	model	NOUN
fumecheng-12394	431	3	includes	include	VERB
fumecheng-12394	431	4	new	new	ADJ
fumecheng-12394	431	5	vibration	vibration	NOUN
fumecheng-12394	431	6	equations	equation	NOUN
fumecheng-12394	431	7	and	and	CCONJ
fumecheng-12394	431	8	an	an	DET
fumecheng-12394	431	9	algorithm	algorithm	NOUN
fumecheng-12394	431	10	for	for	ADP
fumecheng-12394	431	11	calculating	calculate	VERB
fumecheng-12394	431	12	the	the	DET
fumecheng-12394	431	13	stressstrain	stressstrain	NOUN
fumecheng-12394	431	14	state	state	NOUN
fumecheng-12394	431	15	of	of	ADP
fumecheng-12394	431	16	an	an	DET
fumecheng-12394	431	17	arbitrary	arbitrary	ADJ
fumecheng-12394	431	18	point	point	NOUN
fumecheng-12394	431	19	of	of	ADP
fumecheng-12394	431	20	the	the	DET
fumecheng-12394	431	21	structure	structure	NOUN
fumecheng-12394	431	22	.	.	PUNCT
fumecheng-12394	432	1	the	the	DET
fumecheng-12394	432	2	vibration	vibration	NOUN
fumecheng-12394	432	3	equations	equation	NOUN
fumecheng-12394	432	4	of	of	ADP
fumecheng-12394	432	5	the	the	DET
fumecheng-12394	432	6	considered	consider	VERB
fumecheng-12394	432	7	structures	structure	NOUN
fumecheng-12394	432	8	,	,	PUNCT
fumecheng-12394	432	9	including	include	VERB
fumecheng-12394	432	10	the	the	DET
fumecheng-12394	432	11	influence	influence	NOUN
fumecheng-12394	432	12	of	of	ADP
fumecheng-12394	432	13	the	the	DET
fumecheng-12394	432	14	moments	moment	NOUN
fumecheng-12394	432	15	of	of	ADP
fumecheng-12394	432	16	inertia	inertia	NOUN
fumecheng-12394	432	17	and	and	CCONJ
fumecheng-12394	432	18	transverse	transverse	NOUN
fumecheng-12394	432	19	shear	shear	NOUN
fumecheng-12394	432	20	deformation	deformation	NOUN
fumecheng-12394	432	21	,	,	PUNCT
fumecheng-12394	432	22	are	be	AUX
fumecheng-12394	432	23	derived	derive	VERB
fumecheng-12394	432	24	for	for	ADP
fumecheng-12394	432	25	arbitrary	arbitrary	ADJ
fumecheng-12394	432	26	external	external	ADJ
fumecheng-12394	432	27	dynamic	dynamic	ADJ
fumecheng-12394	432	28	loads	load	NOUN
fumecheng-12394	432	29	acting	act	VERB
fumecheng-12394	432	30	onto	onto	ADP
fumecheng-12394	432	31	the	the	DET
fumecheng-12394	432	32	structure	structure	NOUN
fumecheng-12394	432	33	surfaces	surface	NOUN
fumecheng-12394	432	34	.	.	PUNCT
fumecheng-12394	433	1	in	in	ADP
fumecheng-12394	433	2	the	the	DET
fumecheng-12394	433	3	absence	absence	NOUN
fumecheng-12394	433	4	of	of	ADP
fumecheng-12394	433	5	external	external	ADJ
fumecheng-12394	433	6	layers	layer	NOUN
fumecheng-12394	433	7	,	,	PUNCT
fumecheng-12394	433	8	the	the	DET
fumecheng-12394	433	9	results	result	NOUN
fumecheng-12394	433	10	obtained	obtain	VERB
fumecheng-12394	433	11	completely	completely	ADV
fumecheng-12394	433	12	coincide	coincide	ADJ
fumecheng-12394	433	13	with	with	ADP
fumecheng-12394	433	14	the	the	DET
fumecheng-12394	433	15	results	result	NOUN
fumecheng-12394	433	16	of	of	ADP
fumecheng-12394	433	17	filippov	filippov	NOUN
fumecheng-12394	433	18	and	and	CCONJ
fumecheng-12394	433	19	filippov	filippov	NOUN
fumecheng-12394	433	20	[	[	X
fumecheng-12394	433	21	20	20	NUM
fumecheng-12394	433	22	]	]	PUNCT
fumecheng-12394	433	23	.	.	PUNCT
fumecheng-12394	434	1	a	a	DET
fumecheng-12394	434	2	new	new	ADJ
fumecheng-12394	434	3	method	method	NOUN
fumecheng-12394	434	4	has	have	AUX
fumecheng-12394	434	5	been	be	AUX
fumecheng-12394	434	6	developed	develop	VERB
fumecheng-12394	434	7	for	for	ADP
fumecheng-12394	434	8	the	the	DET
fumecheng-12394	434	9	dynamic	dynamic	ADJ
fumecheng-12394	434	10	calculation	calculation	NOUN
fumecheng-12394	434	11	of	of	ADP
fumecheng-12394	434	12	circular	circular	ADJ
fumecheng-12394	434	13	cylindrical	cylindrical	ADJ
fumecheng-12394	434	14	three	three	NUM
fumecheng-12394	434	15	-	-	PUNCT
fumecheng-12394	434	16	layer	layer	NOUN
fumecheng-12394	434	17	elastic	elastic	ADJ
fumecheng-12394	434	18	and	and	CCONJ
fumecheng-12394	434	19	viscoelastic	viscoelastic	ADJ
fumecheng-12394	434	20	shells	shell	NOUN
fumecheng-12394	434	21	for	for	ADP
fumecheng-12394	434	22	the	the	DET
fumecheng-12394	434	23	action	action	NOUN
fumecheng-12394	434	24	of	of	ADP
fumecheng-12394	434	25	various	various	ADJ
fumecheng-12394	434	26	external	external	ADJ
fumecheng-12394	434	27	dynamic	dynamic	ADJ
fumecheng-12394	434	28	loads	load	NOUN
fumecheng-12394	434	29	.	.	PUNCT
fumecheng-12394	435	1	the	the	DET
fumecheng-12394	435	2	method	method	NOUN
fumecheng-12394	435	3	consists	consist	VERB
fumecheng-12394	435	4	in	in	ADP
fumecheng-12394	435	5	the	the	DET
fumecheng-12394	435	6	derivation	derivation	NOUN
fumecheng-12394	435	7	of	of	ADP
fumecheng-12394	435	8	vibration	vibration	NOUN
fumecheng-12394	435	9	equations	equation	NOUN
fumecheng-12394	435	10	,	,	PUNCT
fumecheng-12394	435	11	both	both	DET
fumecheng-12394	435	12	refined	refined	ADJ
fumecheng-12394	435	13	ones	one	NOUN
fumecheng-12394	435	14	of	of	ADP
fumecheng-12394	435	15	the	the	DET
fumecheng-12394	435	16	timoshenko	timoshenko	ADJ
fumecheng-12394	435	17	type	type	NOUN
fumecheng-12394	435	18	and	and	CCONJ
fumecheng-12394	435	19	classical	classical	ADJ
fumecheng-12394	435	20	ones	one	NOUN
fumecheng-12394	435	21	of	of	ADP
fumecheng-12394	435	22	the	the	DET
fumecheng-12394	435	23	kirchhoff	kirchhoff	NOUN
fumecheng-12394	435	24	-	-	PUNCT
fumecheng-12394	435	25	love	love	NOUN
fumecheng-12394	435	26	type	type	NOUN
fumecheng-12394	435	27	,	,	PUNCT
fumecheng-12394	435	28	and	and	CCONJ
fumecheng-12394	435	29	in	in	ADP
fumecheng-12394	435	30	the	the	DET
fumecheng-12394	435	31	development	development	NOUN
fumecheng-12394	435	32	of	of	ADP
fumecheng-12394	435	33	an	an	DET
fumecheng-12394	435	34	algorithm	algorithm	NOUN
fumecheng-12394	435	35	for	for	ADP
fumecheng-12394	435	36	calculating	calculate	VERB
fumecheng-12394	435	37	the	the	DET
fumecheng-12394	435	38	stress	stress	NOUN
fumecheng-12394	435	39	-	-	PUNCT
fumecheng-12394	435	40	strain	strain	NOUN
fumecheng-12394	435	41	state	state	NOUN
fumecheng-12394	435	42	system	system	NOUN
fumecheng-12394	435	43	.	.	PUNCT
fumecheng-12394	436	1	as	as	ADP
fumecheng-12394	436	2	special	special	ADJ
fumecheng-12394	436	3	cases	case	NOUN
fumecheng-12394	436	4	of	of	ADP
fumecheng-12394	436	5	the	the	DET
fumecheng-12394	436	6	obtained	obtain	VERB
fumecheng-12394	436	7	results	result	NOUN
fumecheng-12394	436	8	,	,	PUNCT
fumecheng-12394	436	9	new	new	ADJ
fumecheng-12394	436	10	equations	equation	NOUN
fumecheng-12394	436	11	of	of	ADP
fumecheng-12394	436	12	longitudinal	longitudinal	ADJ
fumecheng-12394	436	13	-	-	PUNCT
fumecheng-12394	436	14	radial	radial	ADJ
fumecheng-12394	436	15	unsteady	unsteady	ADJ
fumecheng-12394	436	16	vibrations	vibration	NOUN
fumecheng-12394	436	17	of	of	ADP
fumecheng-12394	436	18	a	a	DET
fumecheng-12394	436	19	circular	circular	ADJ
fumecheng-12394	436	20	cylindrical	cylindrical	ADJ
fumecheng-12394	436	21	three	three	NUM
fumecheng-12394	436	22	-	-	PUNCT
fumecheng-12394	436	23	layer	layer	NOUN
fumecheng-12394	436	24	elastic	elastic	ADJ
fumecheng-12394	436	25	structure	structure	NOUN
fumecheng-12394	436	26	are	be	AUX
fumecheng-12394	436	27	proposed	propose	VERB
fumecheng-12394	436	28	.	.	PUNCT
fumecheng-12394	437	1	with	with	ADP
fumecheng-12394	437	2	restrictions	restriction	NOUN
fumecheng-12394	437	3	in	in	ADP
fumecheng-12394	437	4	infinite	infinite	ADJ
fumecheng-12394	437	5	series	series	NOUN
fumecheng-12394	437	6	,	,	PUNCT
fumecheng-12394	437	7	their	their	PRON
fumecheng-12394	437	8	approximations	approximation	NOUN
fumecheng-12394	437	9	of	of	ADP
fumecheng-12394	437	10	different	different	ADJ
fumecheng-12394	437	11	order	order	NOUN
fumecheng-12394	437	12	are	be	AUX
fumecheng-12394	437	13	followed	follow	VERB
fumecheng-12394	437	14	by	by	ADP
fumecheng-12394	437	15	kirchhoff	kirchhoff	NOUN
fumecheng-12394	437	16	-	-	PUNCT
fumecheng-12394	437	17	love	love	NOUN
fumecheng-12394	437	18	type	type	NOUN
fumecheng-12394	437	19	vibration	vibration	NOUN
fumecheng-12394	437	20	equations	equation	NOUN
fumecheng-12394	437	21	[	[	X
fumecheng-12394	437	22	21	21	NUM
fumecheng-12394	437	23	]	]	PUNCT
fumecheng-12394	437	24	,	,	PUNCT
fumecheng-12394	437	25	hermann	hermann	PROPN
fumecheng-12394	437	26	-	-	PUNCT
fumecheng-12394	437	27	mirsky	mirsky	PROPN
fumecheng-12394	437	28	and	and	CCONJ
fumecheng-12394	437	29	other	other	ADJ
fumecheng-12394	437	30	refined	refined	ADJ
fumecheng-12394	437	31	equations	equation	NOUN
fumecheng-12394	437	32	of	of	ADP
fumecheng-12394	437	33	higher	high	ADJ
fumecheng-12394	437	34	orders	order	NOUN
fumecheng-12394	437	35	.	.	PUNCT
fumecheng-12394	438	1	equations	equation	NOUN
fumecheng-12394	438	2	have	have	AUX
fumecheng-12394	438	3	been	be	AUX
fumecheng-12394	438	4	developed	develop	VERB
fumecheng-12394	438	5	that	that	PRON
fumecheng-12394	438	6	enable	enable	VERB
fumecheng-12394	438	7	to	to	PART
fumecheng-12394	438	8	determine	determine	VERB
fumecheng-12394	438	9	the	the	DET
fumecheng-12394	438	10	stress	stress	NOUN
fumecheng-12394	438	11	-	-	PUNCT
fumecheng-12394	438	12	strain	strain	NOUN
fumecheng-12394	438	13	state	state	NOUN
fumecheng-12394	438	14	at	at	ADP
fumecheng-12394	438	15	any	any	DET
fumecheng-12394	438	16	point	point	NOUN
fumecheng-12394	438	17	of	of	ADP
fumecheng-12394	438	18	an	an	DET
fumecheng-12394	438	19	arbitrary	arbitrary	ADJ
fumecheng-12394	438	20	section	section	NOUN
fumecheng-12394	438	21	of	of	ADP
fumecheng-12394	438	22	a	a	DET
fumecheng-12394	438	23	circular	circular	ADJ
fumecheng-12394	438	24	cylindrical	cylindrical	ADJ
fumecheng-12394	438	25	three	three	NUM
fumecheng-12394	438	26	-	-	PUNCT
fumecheng-12394	438	27	layer	layer	NOUN
fumecheng-12394	438	28	viscoelastic	viscoelastic	NOUN
fumecheng-12394	438	29	structure	structure	NOUN
fumecheng-12394	438	30	based	base	VERB
fumecheng-12394	438	31	on	on	ADP
fumecheng-12394	438	32	the	the	DET
fumecheng-12394	438	33	results	result	NOUN
fumecheng-12394	438	34	of	of	ADP
fumecheng-12394	438	35	solving	solve	VERB
fumecheng-12394	438	36	longitudinal	longitudinal	ADJ
fumecheng-12394	438	37	-	-	PUNCT
fumecheng-12394	438	38	radial	radial	ADJ
fumecheng-12394	438	39	vibrations	vibration	NOUN
fumecheng-12394	438	40	.	.	PUNCT
fumecheng-12394	439	1	references	reference	NOUN
fumecheng-12394	439	2	1	1	NUM
fumecheng-12394	439	3	.	.	X
fumecheng-12394	440	1	liang	liang	PROPN
fumecheng-12394	440	2	,	,	PUNCT
fumecheng-12394	440	3	w.	w.	PROPN
fumecheng-12394	440	4	,	,	PUNCT
fumecheng-12394	440	5	liu	liu	PROPN
fumecheng-12394	440	6	,	,	PUNCT
fumecheng-12394	440	7	t.	t.	PROPN
fumecheng-12394	440	8	,	,	PUNCT
fumecheng-12394	440	9	li	li	PROPN
fumecheng-12394	440	10	,	,	PUNCT
fumecheng-12394	440	11	ch	ch	PROPN
fumecheng-12394	440	12	.	.	PROPN
fumecheng-12394	440	13	,	,	PUNCT
fumecheng-12394	440	14	wang	wang	PROPN
fumecheng-12394	440	15	,	,	PUNCT
fumecheng-12394	440	16	q.	q.	PROPN
fumecheng-12394	440	17	,	,	PUNCT
fumecheng-12394	440	18	2023	2023	NUM
fumecheng-12394	440	19	,	,	PUNCT
fumecheng-12394	440	20	three	three	NUM
fumecheng-12394	440	21	-	-	PUNCT
fumecheng-12394	440	22	dimensional	dimensional	ADJ
fumecheng-12394	440	23	vibration	vibration	NOUN
fumecheng-12394	440	24	model	model	NOUN
fumecheng-12394	440	25	of	of	ADP
fumecheng-12394	440	26	cylindrical	cylindrical	ADJ
fumecheng-12394	440	27	shells	shell	NOUN
fumecheng-12394	440	28	via	via	ADP
fumecheng-12394	440	29	carrera	carrera	PROPN
fumecheng-12394	440	30	unified	unify	VERB
fumecheng-12394	440	31	formulation	formulation	NOUN
fumecheng-12394	440	32	,	,	PUNCT
fumecheng-12394	440	33	materials	material	NOUN
fumecheng-12394	440	34	,	,	PUNCT
fumecheng-12394	440	35	16	16	NUM
fumecheng-12394	440	36	,	,	PUNCT
fumecheng-12394	440	37	3345	3345	NUM
fumecheng-12394	440	38	.	.	PUNCT
fumecheng-12394	441	1	2	2	X
fumecheng-12394	441	2	.	.	X
fumecheng-12394	441	3	naeem	naeem	PROPN
fumecheng-12394	441	4	,	,	PUNCT
fumecheng-12394	441	5	m.n	m.n	PROPN
fumecheng-12394	441	6	.	.	PROPN
fumecheng-12394	441	7	,	,	PUNCT
fumecheng-12394	441	8	khan	khan	PROPN
fumecheng-12394	441	9	,	,	PUNCT
fumecheng-12394	441	10	a.g	a.g	PROPN
fumecheng-12394	441	11	.	.	PROPN
fumecheng-12394	441	12	,	,	PUNCT
fumecheng-12394	441	13	arshad	arshad	PROPN
fumecheng-12394	441	14	,	,	PUNCT
fumecheng-12394	441	15	sh.h	sh.h	PROPN
fumecheng-12394	441	16	.	.	PROPN
fumecheng-12394	441	17	,	,	PUNCT
fumecheng-12394	441	18	abdul	abdul	PROPN
fumecheng-12394	441	19	,	,	PUNCT
fumecheng-12394	441	20	g.sh	g.sh	PROPN
fumecheng-12394	441	21	.	.	PROPN
fumecheng-12394	441	22	,	,	PUNCT
fumecheng-12394	441	23	gamkhar	gamkhar	PROPN
fumecheng-12394	441	24	,	,	PUNCT
fumecheng-12394	441	25	m.	m.	NOUN
fumecheng-12394	441	26	,	,	PUNCT
fumecheng-12394	441	27	2014	2014	NUM
fumecheng-12394	441	28	,	,	PUNCT
fumecheng-12394	441	29	vibration	vibration	NOUN
fumecheng-12394	441	30	of	of	ADP
fumecheng-12394	441	31	three	three	NUM
fumecheng-12394	441	32	-	-	PUNCT
fumecheng-12394	441	33	layered	layer	VERB
fumecheng-12394	441	34	fgm	fgm	PROPN
fumecheng-12394	441	35	cylindrical	cylindrical	ADJ
fumecheng-12394	441	36	shells	shell	NOUN
fumecheng-12394	441	37	with	with	ADP
fumecheng-12394	441	38	middle	middle	ADJ
fumecheng-12394	441	39	layer	layer	NOUN
fumecheng-12394	441	40	of	of	ADP
fumecheng-12394	441	41	isotropic	isotropic	ADJ
fumecheng-12394	441	42	material	material	NOUN
fumecheng-12394	441	43	for	for	ADP
fumecheng-12394	441	44	various	various	ADJ
fumecheng-12394	441	45	boundary	boundary	ADJ
fumecheng-12394	441	46	conditions	condition	NOUN
fumecheng-12394	441	47	,	,	PUNCT
fumecheng-12394	441	48	world	world	NOUN
fumecheng-12394	441	49	journal	journal	NOUN
fumecheng-12394	441	50	of	of	ADP
fumecheng-12394	441	51	mechanics	mechanic	NOUN
fumecheng-12394	441	52	,	,	PUNCT
fumecheng-12394	441	53	4(11	4(11	NUM
fumecheng-12394	441	54	)	)	PUNCT
fumecheng-12394	441	55	,	,	PUNCT
fumecheng-12394	441	56	pp	pp	ADP
fumecheng-12394	441	57	.	.	PUNCT
fumecheng-12394	442	1	315–331	315–331	NUM
fumecheng-12394	442	2	.	.	PUNCT
fumecheng-12394	443	1	3	3	X
fumecheng-12394	443	2	.	.	NUM
fumecheng-12394	443	3	ye	ye	NUM
fumecheng-12394	443	4	,	,	PUNCT
fumecheng-12394	443	5	t.	t.	PROPN
fumecheng-12394	443	6	,	,	PUNCT
fumecheng-12394	443	7	jin	jin	PROPN
fumecheng-12394	443	8	,	,	PUNCT
fumecheng-12394	443	9	g.	g.	PROPN
fumecheng-12394	443	10	,	,	PUNCT
fumecheng-12394	443	11	shi	shi	PROPN
fumecheng-12394	443	12	,	,	PUNCT
fumecheng-12394	443	13	s.	s.	PROPN
fumecheng-12394	443	14	,	,	PUNCT
fumecheng-12394	443	15	ma	ma	PROPN
fumecheng-12394	443	16	,	,	PUNCT
fumecheng-12394	443	17	x.	x.	NOUN
fumecheng-12394	443	18	,	,	PUNCT
fumecheng-12394	443	19	2014	2014	NUM
fumecheng-12394	443	20	,	,	PUNCT
fumecheng-12394	443	21	three	three	NUM
fumecheng-12394	443	22	-	-	PUNCT
fumecheng-12394	443	23	dimensional	dimensional	ADJ
fumecheng-12394	443	24	free	free	ADJ
fumecheng-12394	443	25	vibration	vibration	NOUN
fumecheng-12394	443	26	analysis	analysis	NOUN
fumecheng-12394	443	27	of	of	ADP
fumecheng-12394	443	28	thick	thick	ADJ
fumecheng-12394	443	29	cylindrical	cylindrical	ADJ
fumecheng-12394	443	30	shells	shell	NOUN
fumecheng-12394	443	31	with	with	ADP
fumecheng-12394	443	32	general	general	ADJ
fumecheng-12394	443	33	end	end	NOUN
fumecheng-12394	443	34	conditions	condition	NOUN
fumecheng-12394	443	35	and	and	CCONJ
fumecheng-12394	443	36	resting	rest	VERB
fumecheng-12394	443	37	on	on	ADP
fumecheng-12394	443	38	elastic	elastic	ADJ
fumecheng-12394	443	39	foundations	foundation	NOUN
fumecheng-12394	443	40	,	,	PUNCT
fumecheng-12394	443	41	international	international	ADJ
fumecheng-12394	443	42	journal	journal	NOUN
fumecheng-12394	443	43	of	of	ADP
fumecheng-12394	443	44	mechanical	mechanical	ADJ
fumecheng-12394	443	45	sciences	science	NOUN
fumecheng-12394	443	46	,	,	PUNCT
fumecheng-12394	443	47	84	84	NUM
fumecheng-12394	443	48	,	,	PUNCT
fumecheng-12394	443	49	pp.120–137	pp.120–137	NOUN
fumecheng-12394	443	50	.	.	PROPN
fumecheng-12394	444	1	4	4	X
fumecheng-12394	444	2	.	.	X
fumecheng-12394	444	3	banks	bank	NOUN
fumecheng-12394	444	4	,	,	PUNCT
fumecheng-12394	444	5	h.t	h.t	PROPN
fumecheng-12394	444	6	.	.	PROPN
fumecheng-12394	444	7	,	,	PUNCT
fumecheng-12394	444	8	hu	hu	PROPN
fumecheng-12394	444	9	,	,	PUNCT
fumecheng-12394	444	10	s.	s.	PROPN
fumecheng-12394	444	11	,	,	PUNCT
fumecheng-12394	444	12	kenz	kenz	PROPN
fumecheng-12394	444	13	,	,	PUNCT
fumecheng-12394	444	14	z.r	z.r	PROPN
fumecheng-12394	444	15	.	.	PROPN
fumecheng-12394	444	16	,	,	PUNCT
fumecheng-12394	444	17	2011	2011	NUM
fumecheng-12394	444	18	,	,	PUNCT
fumecheng-12394	444	19	a	a	DET
fumecheng-12394	444	20	brief	brief	ADJ
fumecheng-12394	444	21	review	review	NOUN
fumecheng-12394	444	22	of	of	ADP
fumecheng-12394	444	23	elasticity	elasticity	NOUN
fumecheng-12394	444	24	and	and	CCONJ
fumecheng-12394	444	25	viscoelasticity	viscoelasticity	NOUN
fumecheng-12394	444	26	for	for	ADP
fumecheng-12394	444	27	solids	solid	NOUN
fumecheng-12394	444	28	,	,	PUNCT
fumecheng-12394	444	29	advances	advance	NOUN
fumecheng-12394	444	30	in	in	ADP
fumecheng-12394	444	31	applied	apply	VERB
fumecheng-12394	444	32	mathematics	mathematic	NOUN
fumecheng-12394	444	33	and	and	CCONJ
fumecheng-12394	444	34	mechanics	mechanic	NOUN
fumecheng-12394	444	35	,	,	PUNCT
fumecheng-12394	444	36	3(1	3(1	NUM
fumecheng-12394	444	37	)	)	PUNCT
fumecheng-12394	444	38	,	,	PUNCT
fumecheng-12394	444	39	pp	pp	PROPN
fumecheng-12394	444	40	.	.	PUNCT
fumecheng-12394	445	1	1–51	1–51	ADJ
fumecheng-12394	445	2	.	.	PUNCT
fumecheng-12394	446	1	484	484	NUM
fumecheng-12394	446	2	kh	kh	NOUN
fumecheng-12394	446	3	.	.	PUNCT
fumecheng-12394	446	4	khudoynazarov	khudoynazarov	PROPN
fumecheng-12394	446	5	5	5	X
fumecheng-12394	446	6	.	.	PUNCT
fumecheng-12394	446	7	khudoynazarov	khudoynazarov	PROPN
fumecheng-12394	446	8	,	,	PUNCT
fumecheng-12394	446	9	kh.kh	kh.kh	PROPN
fumecheng-12394	446	10	.	.	PUNCT
fumecheng-12394	446	11	,	,	PUNCT
fumecheng-12394	446	12	2006	2006	NUM
fumecheng-12394	446	13	,	,	PUNCT
fumecheng-12394	446	14	transversal	transversal	ADJ
fumecheng-12394	446	15	vibrations	vibration	NOUN
fumecheng-12394	446	16	of	of	ADP
fumecheng-12394	446	17	thick	thick	ADJ
fumecheng-12394	446	18	and	and	CCONJ
fumecheng-12394	446	19	thin	thin	ADJ
fumecheng-12394	446	20	cylindrical	cylindrical	ADJ
fumecheng-12394	446	21	shells	shell	NOUN
fumecheng-12394	446	22	,	,	PUNCT
fumecheng-12394	446	23	interacting	interact	VERB
fumecheng-12394	446	24	with	with	ADP
fumecheng-12394	446	25	deformable	deformable	ADJ
fumecheng-12394	446	26	medium	medium	NOUN
fumecheng-12394	446	27	,	,	PUNCT
fumecheng-12394	446	28	proceedings	proceeding	NOUN
fumecheng-12394	446	29	of	of	ADP
fumecheng-12394	446	30	the	the	DET
fumecheng-12394	446	31	8th	8th	ADJ
fumecheng-12394	446	32	international	international	ADJ
fumecheng-12394	446	33	conference	conference	NOUN
fumecheng-12394	446	34	on	on	ADP
fumecheng-12394	446	35	shell	shell	ADJ
fumecheng-12394	446	36	structures	structure	NOUN
fumecheng-12394	446	37	ssta	ssta	NOUN
fumecheng-12394	446	38	2005	2005	NUM
fumecheng-12394	446	39	,	,	PUNCT
fumecheng-12394	446	40	jurata	jurata	PROPN
fumecheng-12394	446	41	,	,	PUNCT
fumecheng-12394	446	42	gdansk	gdansk	PROPN
fumecheng-12394	446	43	,	,	PUNCT
fumecheng-12394	446	44	poland	poland	PROPN
fumecheng-12394	446	45	,	,	PUNCT
fumecheng-12394	446	46	shell	shell	ADJ
fumecheng-12394	446	47	structures	structure	NOUN
fumecheng-12394	446	48	:	:	PUNCT
fumecheng-12394	446	49	theory	theory	NOUN
fumecheng-12394	446	50	and	and	CCONJ
fumecheng-12394	446	51	applications	application	NOUN
fumecheng-12394	446	52	,	,	PUNCT
fumecheng-12394	446	53	london	london	PROPN
fumecheng-12394	446	54	:	:	PUNCT
fumecheng-12394	446	55	taylor	taylor	PROPN
fumecheng-12394	446	56	&	&	CCONJ
fumecheng-12394	446	57	francis	francis	PROPN
fumecheng-12394	446	58	group	group	PROPN
fumecheng-12394	446	59	,	,	PUNCT
fumecheng-12394	446	60	pp	pp	X
fumecheng-12394	446	61	.	.	PUNCT
fumecheng-12394	447	1	343–347	343–347	NUM
fumecheng-12394	447	2	.	.	NOUN
fumecheng-12394	448	1	6	6	NUM
fumecheng-12394	448	2	.	.	X
fumecheng-12394	448	3	mofakhami	mofakhami	PROPN
fumecheng-12394	448	4	,	,	PUNCT
fumecheng-12394	448	5	m.r	m.r	PROPN
fumecheng-12394	448	6	.	.	PROPN
fumecheng-12394	448	7	,	,	PUNCT
fumecheng-12394	448	8	toudeshky	toudeshky	NOUN
fumecheng-12394	448	9	,	,	PUNCT
fumecheng-12394	448	10	h.h	h.h	PROPN
fumecheng-12394	448	11	.	.	PROPN
fumecheng-12394	448	12	,	,	PUNCT
fumecheng-12394	448	13	hashemi	hashemi	PROPN
fumecheng-12394	448	14	,	,	PUNCT
fumecheng-12394	448	15	s.h	s.h	PROPN
fumecheng-12394	448	16	.	.	PROPN
fumecheng-12394	448	17	,	,	PUNCT
fumecheng-12394	448	18	2006	2006	NUM
fumecheng-12394	448	19	,	,	PUNCT
fumecheng-12394	448	20	finite	finite	ADJ
fumecheng-12394	448	21	cylinder	cylinder	NOUN
fumecheng-12394	448	22	vibrations	vibration	NOUN
fumecheng-12394	448	23	with	with	ADP
fumecheng-12394	448	24	different	different	ADJ
fumecheng-12394	448	25	end	end	NOUN
fumecheng-12394	448	26	boundary	boundary	ADJ
fumecheng-12394	448	27	conditions	condition	NOUN
fumecheng-12394	448	28	,	,	PUNCT
fumecheng-12394	448	29	journal	journal	NOUN
fumecheng-12394	448	30	of	of	ADP
fumecheng-12394	448	31	sound	sound	NOUN
fumecheng-12394	448	32	and	and	CCONJ
fumecheng-12394	448	33	vibration	vibration	NOUN
fumecheng-12394	448	34	,	,	PUNCT
fumecheng-12394	448	35	297	297	NUM
fumecheng-12394	448	36	,	,	PUNCT
fumecheng-12394	448	37	pp	pp	ADV
fumecheng-12394	448	38	.	.	PUNCT
fumecheng-12394	449	1	293–314	293–314	NUM
fumecheng-12394	449	2	.	.	PUNCT
fumecheng-12394	450	1	7	7	X
fumecheng-12394	450	2	.	.	X
fumecheng-12394	450	3	sahoo	sahoo	PROPN
fumecheng-12394	450	4	,	,	PUNCT
fumecheng-12394	450	5	r.	r.	PROPN
fumecheng-12394	450	6	,	,	PUNCT
fumecheng-12394	450	7	grover	grover	PROPN
fumecheng-12394	450	8	,	,	PUNCT
fumecheng-12394	450	9	n.	n.	NOUN
fumecheng-12394	450	10	,	,	PUNCT
fumecheng-12394	450	11	singh	singh	PROPN
fumecheng-12394	450	12	,	,	PUNCT
fumecheng-12394	450	13	b.n	b.n	PROPN
fumecheng-12394	450	14	.	.	PROPN
fumecheng-12394	450	15	,	,	PUNCT
fumecheng-12394	450	16	2021	2021	NUM
fumecheng-12394	450	17	,	,	PUNCT
fumecheng-12394	450	18	random	random	ADJ
fumecheng-12394	450	19	vibration	vibration	NOUN
fumecheng-12394	450	20	response	response	NOUN
fumecheng-12394	450	21	of	of	ADP
fumecheng-12394	450	22	composite	composite	ADJ
fumecheng-12394	450	23	–	–	PUNCT
fumecheng-12394	450	24	sandwich	sandwich	NOUN
fumecheng-12394	450	25	laminates	laminate	NOUN
fumecheng-12394	450	26	,	,	PUNCT
fumecheng-12394	450	27	archive	archive	NOUN
fumecheng-12394	450	28	of	of	ADP
fumecheng-12394	450	29	applied	apply	VERB
fumecheng-12394	450	30	mechanics	mechanic	NOUN
fumecheng-12394	450	31	,	,	PUNCT
fumecheng-12394	450	32	91	91	NUM
fumecheng-12394	450	33	,	,	PUNCT
fumecheng-12394	450	34	pp	pp	ADJ
fumecheng-12394	450	35	.	.	PUNCT
fumecheng-12394	451	1	3755–3771	3755–3771	NUM
fumecheng-12394	451	2	.	.	PUNCT
fumecheng-12394	452	1	8	8	NUM
fumecheng-12394	452	2	.	.	X
fumecheng-12394	453	1	ghamkhar	ghamkhar	PROPN
fumecheng-12394	453	2	,	,	PUNCT
fumecheng-12394	453	3	m.	m.	NOUN
fumecheng-12394	453	4	,	,	PUNCT
fumecheng-12394	453	5	naeem	naeem	PROPN
fumecheng-12394	453	6	,	,	PUNCT
fumecheng-12394	453	7	m.n	m.n	PROPN
fumecheng-12394	453	8	.	.	PROPN
fumecheng-12394	453	9	,	,	PUNCT
fumecheng-12394	453	10	imran	imran	PROPN
fumecheng-12394	453	11	,	,	PUNCT
fumecheng-12394	453	12	m.	m.	NOUN
fumecheng-12394	453	13	,	,	PUNCT
fumecheng-12394	453	14	soutis	soutis	PROPN
fumecheng-12394	453	15	,	,	PUNCT
fumecheng-12394	453	16	c.	c.	NOUN
fumecheng-12394	453	17	,	,	PUNCT
fumecheng-12394	453	18	2019	2019	NUM
fumecheng-12394	453	19	,	,	PUNCT
fumecheng-12394	453	20	vibration	vibration	NOUN
fumecheng-12394	453	21	analysis	analysis	NOUN
fumecheng-12394	453	22	of	of	ADP
fumecheng-12394	453	23	a	a	DET
fumecheng-12394	453	24	three	three	NUM
fumecheng-12394	453	25	-	-	PUNCT
fumecheng-12394	453	26	layered	layer	VERB
fumecheng-12394	453	27	fgm	fgm	PROPN
fumecheng-12394	453	28	cylindrical	cylindrical	ADJ
fumecheng-12394	453	29	shell	shell	NOUN
fumecheng-12394	453	30	including	include	VERB
fumecheng-12394	453	31	the	the	DET
fumecheng-12394	453	32	effect	effect	NOUN
fumecheng-12394	453	33	of	of	ADP
fumecheng-12394	453	34	ring	ring	NOUN
fumecheng-12394	453	35	support	support	NOUN
fumecheng-12394	453	36	,	,	PUNCT
fumecheng-12394	453	37	open	open	ADJ
fumecheng-12394	453	38	physics	physics	NOUN
fumecheng-12394	453	39	,	,	PUNCT
fumecheng-12394	453	40	17(1	17(1	NUM
fumecheng-12394	453	41	)	)	PUNCT
fumecheng-12394	453	42	,	,	PUNCT
fumecheng-12394	453	43	pp.587	pp.587	PROPN
fumecheng-12394	453	44	-	-	PUNCT
fumecheng-12394	453	45	600	600	NUM
fumecheng-12394	453	46	.	.	NOUN
fumecheng-12394	454	1	9	9	X
fumecheng-12394	454	2	.	.	X
fumecheng-12394	454	3	shah	shah	PROPN
fumecheng-12394	454	4	.	.	PUNCT
fumecheng-12394	454	5	,	,	PUNCT
fumecheng-12394	455	1	a.g	a.g	PROPN
fumecheng-12394	455	2	.	.	PROPN
fumecheng-12394	455	3	,	,	PUNCT
fumecheng-12394	455	4	mahmood	mahmood	PROPN
fumecheng-12394	455	5	,	,	PUNCT
fumecheng-12394	455	6	t.	t.	PROPN
fumecheng-12394	455	7	,	,	PUNCT
fumecheng-12394	455	8	naeem	naeem	PROPN
fumecheng-12394	455	9	,	,	PUNCT
fumecheng-12394	455	10	m.n	m.n	PROPN
fumecheng-12394	455	11	.	.	PROPN
fumecheng-12394	455	12	,	,	PUNCT
fumecheng-12394	455	13	zafar	zafar	PROPN
fumecheng-12394	455	14	,	,	PUNCT
fumecheng-12394	455	15	a.sh	a.sh	PROPN
fumecheng-12394	455	16	.	.	PROPN
fumecheng-12394	455	17	,	,	PUNCT
fumecheng-12394	455	18	arshad	arshad	PROPN
fumecheng-12394	455	19	,	,	PUNCT
fumecheng-12394	455	20	sh.h	sh.h	NOUN
fumecheng-12394	455	21	,	,	PUNCT
fumecheng-12394	455	22	2010	2010	NUM
fumecheng-12394	455	23	,	,	PUNCT
fumecheng-12394	455	24	vibrations	vibration	NOUN
fumecheng-12394	455	25	of	of	ADP
fumecheng-12394	455	26	functionally	functionally	ADV
fumecheng-12394	455	27	graded	grade	VERB
fumecheng-12394	455	28	cylindrical	cylindrical	ADJ
fumecheng-12394	455	29	shells	shell	NOUN
fumecheng-12394	455	30	based	base	VERB
fumecheng-12394	455	31	on	on	ADP
fumecheng-12394	455	32	elastic	elastic	ADJ
fumecheng-12394	455	33	foundations	foundation	NOUN
fumecheng-12394	455	34	,	,	PUNCT
fumecheng-12394	455	35	acta	acta	PROPN
fumecheng-12394	455	36	mechanica	mechanica	PROPN
fumecheng-12394	455	37	,	,	PUNCT
fumecheng-12394	455	38	211(30	211(30	NUM
fumecheng-12394	455	39	)	)	PUNCT
fumecheng-12394	455	40	,	,	PUNCT
fumecheng-12394	455	41	pp	pp	ADP
fumecheng-12394	455	42	.	.	PUNCT
fumecheng-12394	456	1	293–307	293–307	NUM
fumecheng-12394	456	2	.	.	PUNCT
fumecheng-12394	457	1	10	10	NUM
fumecheng-12394	457	2	.	.	PUNCT
fumecheng-12394	458	1	sayyad	sayyad	PROPN
fumecheng-12394	458	2	,	,	PUNCT
fumecheng-12394	458	3	a.s	a.s	PROPN
fumecheng-12394	458	4	.	.	PROPN
fumecheng-12394	458	5	,	,	PUNCT
fumecheng-12394	458	6	ghugal	ghugal	PROPN
fumecheng-12394	458	7	,	,	PUNCT
fumecheng-12394	458	8	y.m	y.m	PROPN
fumecheng-12394	458	9	.	.	PROPN
fumecheng-12394	458	10	,	,	PUNCT
fumecheng-12394	458	11	2015	2015	NUM
fumecheng-12394	458	12	,	,	PUNCT
fumecheng-12394	458	13	on	on	ADP
fumecheng-12394	458	14	the	the	DET
fumecheng-12394	458	15	free	free	ADJ
fumecheng-12394	458	16	vibration	vibration	NOUN
fumecheng-12394	458	17	analysis	analysis	NOUN
fumecheng-12394	458	18	of	of	ADP
fumecheng-12394	458	19	laminated	laminated	ADJ
fumecheng-12394	458	20	composite	composite	ADJ
fumecheng-12394	458	21	and	and	CCONJ
fumecheng-12394	458	22	sandwich	sandwich	NOUN
fumecheng-12394	458	23	plates	plate	NOUN
fumecheng-12394	458	24	:	:	PUNCT
fumecheng-12394	458	25	a	a	DET
fumecheng-12394	458	26	review	review	NOUN
fumecheng-12394	458	27	of	of	ADP
fumecheng-12394	458	28	recent	recent	ADJ
fumecheng-12394	458	29	literature	literature	NOUN
fumecheng-12394	458	30	with	with	ADP
fumecheng-12394	458	31	some	some	DET
fumecheng-12394	458	32	numerical	numerical	ADJ
fumecheng-12394	458	33	results	result	NOUN
fumecheng-12394	458	34	,	,	PUNCT
fumecheng-12394	458	35	composite	composite	ADJ
fumecheng-12394	458	36	structures	structure	NOUN
fumecheng-12394	458	37	,	,	PUNCT
fumecheng-12394	458	38	129	129	NUM
fumecheng-12394	458	39	,	,	PUNCT
fumecheng-12394	458	40	pp	pp	ADJ
fumecheng-12394	458	41	.	.	PUNCT
fumecheng-12394	459	1	177–201	177–201	NUM
fumecheng-12394	459	2	.	.	PUNCT
fumecheng-12394	460	1	11	11	NUM
fumecheng-12394	460	2	.	.	X
fumecheng-12394	461	1	altukhov	altukhov	PROPN
fumecheng-12394	461	2	,	,	PUNCT
fumecheng-12394	461	3	e.v	e.v	PROPN
fumecheng-12394	461	4	.	.	PROPN
fumecheng-12394	461	5	,	,	PUNCT
fumecheng-12394	461	6	fomenko	fomenko	PROPN
fumecheng-12394	461	7	,	,	PUNCT
fumecheng-12394	461	8	m.v	m.v	PROPN
fumecheng-12394	461	9	.	.	PROPN
fumecheng-12394	461	10	,	,	PUNCT
fumecheng-12394	461	11	2010	2010	NUM
fumecheng-12394	461	12	,	,	PUNCT
fumecheng-12394	461	13	elastic	elastic	ADJ
fumecheng-12394	461	14	equalization	equalization	NOUN
fumecheng-12394	461	15	of	of	ADP
fumecheng-12394	461	16	a	a	DET
fumecheng-12394	461	17	three	three	NUM
fumecheng-12394	461	18	-	-	PUNCT
fumecheng-12394	461	19	layer	layer	NOUN
fumecheng-12394	461	20	plate	plate	NOUN
fumecheng-12394	461	21	with	with	ADP
fumecheng-12394	461	22	imperfect	imperfect	ADJ
fumecheng-12394	461	23	layer	layer	NOUN
fumecheng-12394	461	24	contact	contact	NOUN
fumecheng-12394	461	25	,	,	PUNCT
fumecheng-12394	461	26	bulletin	bulletin	NOUN
fumecheng-12394	461	27	of	of	ADP
fumecheng-12394	461	28	donetsk	donetsk	PROPN
fumecheng-12394	461	29	national	national	ADJ
fumecheng-12394	461	30	university	university	NOUN
fumecheng-12394	461	31	,	,	PUNCT
fumecheng-12394	461	32	series	series	NOUN
fumecheng-12394	461	33	a	a	PRON
fumecheng-12394	461	34	,	,	PUNCT
fumecheng-12394	461	35	natural	natural	ADJ
fumecheng-12394	461	36	sciences	science	NOUN
fumecheng-12394	461	37	,	,	PUNCT
fumecheng-12394	461	38	1	1	NUM
fumecheng-12394	461	39	,	,	PUNCT
fumecheng-12394	461	40	pp.78	pp.78	NOUN
fumecheng-12394	461	41	-	-	PUNCT
fumecheng-12394	461	42	87	87	NUM
fumecheng-12394	461	43	.	.	PUNCT
fumecheng-12394	462	1	12	12	NUM
fumecheng-12394	462	2	.	.	PUNCT
fumecheng-12394	463	1	altukhov	altukhov	PROPN
fumecheng-12394	463	2	,	,	PUNCT
fumecheng-12394	463	3	e.v	e.v	PROPN
fumecheng-12394	463	4	.	.	PROPN
fumecheng-12394	463	5	,	,	PUNCT
fumecheng-12394	463	6	fomenko	fomenko	PROPN
fumecheng-12394	463	7	,	,	PUNCT
fumecheng-12394	463	8	m.v	m.v	PROPN
fumecheng-12394	463	9	.	.	PROPN
fumecheng-12394	463	10	,	,	PUNCT
fumecheng-12394	463	11	2011	2011	NUM
fumecheng-12394	463	12	,	,	PUNCT
fumecheng-12394	463	13	vibrations	vibration	NOUN
fumecheng-12394	463	14	of	of	ADP
fumecheng-12394	463	15	three	three	NUM
fumecheng-12394	463	16	-	-	PUNCT
fumecheng-12394	463	17	layer	layer	NOUN
fumecheng-12394	463	18	plates	plate	NOUN
fumecheng-12394	463	19	in	in	ADP
fumecheng-12394	463	20	the	the	DET
fumecheng-12394	463	21	case	case	NOUN
fumecheng-12394	463	22	of	of	ADP
fumecheng-12394	463	23	boundary	boundary	ADJ
fumecheng-12394	463	24	conditions	condition	NOUN
fumecheng-12394	463	25	of	of	ADP
fumecheng-12394	463	26	the	the	DET
fumecheng-12394	463	27	flat	flat	ADJ
fumecheng-12394	463	28	end	end	NOUN
fumecheng-12394	463	29	and	and	CCONJ
fumecheng-12394	463	30	slipping	slipping	NOUN
fumecheng-12394	463	31	of	of	ADP
fumecheng-12394	463	32	layers	layer	NOUN
fumecheng-12394	463	33	,	,	PUNCT
fumecheng-12394	463	34	bulletin	bulletin	NOUN
fumecheng-12394	463	35	of	of	ADP
fumecheng-12394	463	36	donetsk	donetsk	PROPN
fumecheng-12394	463	37	national	national	ADJ
fumecheng-12394	463	38	university	university	NOUN
fumecheng-12394	463	39	,	,	PUNCT
fumecheng-12394	463	40	series.a	series.a	NUM
fumecheng-12394	463	41	,	,	PUNCT
fumecheng-12394	463	42	natural	natural	ADJ
fumecheng-12394	463	43	sciences	science	NOUN
fumecheng-12394	463	44	,	,	PUNCT
fumecheng-12394	463	45	2	2	NUM
fumecheng-12394	463	46	,	,	PUNCT
fumecheng-12394	463	47	pp	pp	ADJ
fumecheng-12394	463	48	.	.	PUNCT
fumecheng-12394	464	1	34–41	34–41	NUM
fumecheng-12394	464	2	.	.	PUNCT
fumecheng-12394	465	1	13	13	NUM
fumecheng-12394	465	2	.	.	PUNCT
fumecheng-12394	466	1	iqbal	iqbal	PROPN
fumecheng-12394	466	2	,	,	PUNCT
fumecheng-12394	466	3	z.	z.	PROPN
fumecheng-12394	466	4	,	,	PUNCT
fumecheng-12394	466	5	naeem	naeem	PROPN
fumecheng-12394	466	6	,	,	PUNCT
fumecheng-12394	466	7	m.n	m.n	PROPN
fumecheng-12394	466	8	.	.	PROPN
fumecheng-12394	466	9	,	,	PUNCT
fumecheng-12394	466	10	sultana	sultana	NOUN
fumecheng-12394	466	11	,	,	PUNCT
fumecheng-12394	466	12	n.	n.	NOUN
fumecheng-12394	466	13	,	,	PUNCT
fumecheng-12394	466	14	2009	2009	NUM
fumecheng-12394	466	15	,	,	PUNCT
fumecheng-12394	466	16	vibration	vibration	NOUN
fumecheng-12394	466	17	characteristics	characteristic	NOUN
fumecheng-12394	466	18	of	of	ADP
fumecheng-12394	466	19	fgm	fgm	PROPN
fumecheng-12394	466	20	circular	circular	ADJ
fumecheng-12394	466	21	cylindrical	cylindrical	ADJ
fumecheng-12394	466	22	shells	shell	NOUN
fumecheng-12394	466	23	,	,	PUNCT
fumecheng-12394	466	24	acta	acta	PROPN
fumecheng-12394	466	25	mechanica	mechanica	PROPN
fumecheng-12394	466	26	,	,	PUNCT
fumecheng-12394	466	27	208	208	NUM
fumecheng-12394	466	28	,	,	PUNCT
fumecheng-12394	466	29	pp	pp	ADJ
fumecheng-12394	466	30	.	.	PUNCT
fumecheng-12394	467	1	237–248	237–248	NUM
fumecheng-12394	467	2	.	.	PUNCT
fumecheng-12394	468	1	14	14	NUM
fumecheng-12394	468	2	.	.	X
fumecheng-12394	468	3	sofiyev	sofiyev	PROPN
fumecheng-12394	468	4	,	,	PUNCT
fumecheng-12394	468	5	a.h	a.h	PROPN
fumecheng-12394	468	6	.	.	PROPN
fumecheng-12394	468	7	,	,	PUNCT
fumecheng-12394	468	8	deniz	deniz	PROPN
fumecheng-12394	468	9	,	,	PUNCT
fumecheng-12394	468	10	a.	a.	PROPN
fumecheng-12394	468	11	,	,	PUNCT
fumecheng-12394	468	12	akçay	akçay	NOUN
fumecheng-12394	468	13	,	,	PUNCT
fumecheng-12394	468	14	i.h	i.h	PROPN
fumecheng-12394	468	15	.	.	PROPN
fumecheng-12394	468	16	,	,	PUNCT
fumecheng-12394	468	17	yusufoğlu	yusufoğlu	PROPN
fumecheng-12394	468	18	,	,	PUNCT
fumecheng-12394	468	19	e.	e.	PROPN
fumecheng-12394	468	20	,2006	,2006	PROPN
fumecheng-12394	468	21	,	,	PUNCT
fumecheng-12394	468	22	the	the	DET
fumecheng-12394	468	23	vibration	vibration	NOUN
fumecheng-12394	468	24	and	and	CCONJ
fumecheng-12394	468	25	stability	stability	NOUN
fumecheng-12394	468	26	of	of	ADP
fumecheng-12394	468	27	a	a	DET
fumecheng-12394	468	28	three	three	NUM
fumecheng-12394	468	29	-	-	PUNCT
fumecheng-12394	468	30	layered	layer	VERB
fumecheng-12394	468	31	conical	conical	NOUN
fumecheng-12394	468	32	shell	shell	NOUN
fumecheng-12394	468	33	containing	contain	VERB
fumecheng-12394	468	34	an	an	DET
fumecheng-12394	468	35	fgm	fgm	PROPN
fumecheng-12394	468	36	layer	layer	NOUN
fumecheng-12394	468	37	subjected	subject	VERB
fumecheng-12394	468	38	to	to	ADP
fumecheng-12394	468	39	axial	axial	ADJ
fumecheng-12394	468	40	compressive	compressive	ADJ
fumecheng-12394	468	41	load	load	NOUN
fumecheng-12394	468	42	,	,	PUNCT
fumecheng-12394	468	43	acta	acta	PROPN
fumecheng-12394	468	44	mechanica	mechanica	PROPN
fumecheng-12394	468	45	,	,	PUNCT
fumecheng-12394	468	46	183	183	NUM
fumecheng-12394	468	47	,	,	PUNCT
fumecheng-12394	468	48	pp	pp	ADJ
fumecheng-12394	468	49	.	.	PUNCT
fumecheng-12394	469	1	129–144	129–144	NUM
fumecheng-12394	469	2	.	.	NOUN
fumecheng-12394	469	3	15	15	NUM
fumecheng-12394	469	4	.	.	PUNCT
fumecheng-12394	469	5	dimitrienko	dimitrienko	ADJ
fumecheng-12394	469	6	,	,	PUNCT
fumecheng-12394	469	7	yu.i	yu.i	PROPN
fumecheng-12394	469	8	.	.	PROPN
fumecheng-12394	469	9	,	,	PUNCT
fumecheng-12394	469	10	gubareva	gubareva	PROPN
fumecheng-12394	469	11	,	,	PUNCT
fumecheng-12394	469	12	e.a	e.a	PROPN
fumecheng-12394	469	13	.	.	PROPN
fumecheng-12394	469	14	,	,	PUNCT
fumecheng-12394	469	15	yakovleva	yakovleva	PROPN
fumecheng-12394	469	16	,	,	PUNCT
fumecheng-12394	469	17	d.o	d.o	PROPN
fumecheng-12394	469	18	.	.	PROPN
fumecheng-12394	469	19	,	,	PUNCT
fumecheng-12394	469	20	2014	2014	NUM
fumecheng-12394	469	21	,	,	PUNCT
fumecheng-12394	469	22	asymptotic	asymptotic	ADJ
fumecheng-12394	469	23	theory	theory	NOUN
fumecheng-12394	469	24	of	of	ADP
fumecheng-12394	469	25	viscoelasticity	viscoelasticity	NOUN
fumecheng-12394	469	26	of	of	ADP
fumecheng-12394	469	27	multilayer	multilayer	ADJ
fumecheng-12394	469	28	thin	thin	ADJ
fumecheng-12394	469	29	composite	composite	ADJ
fumecheng-12394	469	30	plates	plate	NOUN
fumecheng-12394	469	31	,	,	PUNCT
fumecheng-12394	469	32	science	science	NOUN
fumecheng-12394	469	33	and	and	CCONJ
fumecheng-12394	469	34	education	education	NOUN
fumecheng-12394	469	35	of	of	ADP
fumecheng-12394	469	36	bauman	bauman	PROPN
fumecheng-12394	469	37	moscow	moscow	PROPN
fumecheng-12394	469	38	state	state	PROPN
fumecheng-12394	469	39	technical	technical	PROPN
fumecheng-12394	469	40	university	university	PROPN
fumecheng-12394	469	41	,	,	PUNCT
fumecheng-12394	469	42	electron	electron	NOUN
fumecheng-12394	469	43	journal	journal	NOUN
fumecheng-12394	469	44	,	,	PUNCT
fumecheng-12394	469	45	14	14	NUM
fumecheng-12394	469	46	,	,	PUNCT
fumecheng-12394	469	47	pp	pp	ADJ
fumecheng-12394	469	48	.	.	PUNCT
fumecheng-12394	470	1	359–382	359–382	NUM
fumecheng-12394	470	2	.	.	PUNCT
fumecheng-12394	471	1	16	16	NUM
fumecheng-12394	471	2	.	.	PUNCT
fumecheng-12394	472	1	khudoynazarov	khudoynazarov	PROPN
fumecheng-12394	472	2	,	,	PUNCT
fumecheng-12394	472	3	kh	kh	PROPN
fumecheng-12394	472	4	.	.	PROPN
fumecheng-12394	472	5	,	,	PUNCT
fumecheng-12394	472	6	abdurazakov	abdurazakov	PROPN
fumecheng-12394	472	7	,	,	PUNCT
fumecheng-12394	472	8	j.	j.	PROPN
fumecheng-12394	472	9	,	,	PUNCT
fumecheng-12394	472	10	kholikov	kholikov	PROPN
fumecheng-12394	472	11	,	,	PUNCT
fumecheng-12394	472	12	d.	d.	PROPN
fumecheng-12394	472	13	,	,	PUNCT
fumecheng-12394	472	14	2022	2022	NUM
fumecheng-12394	472	15	,	,	PUNCT
fumecheng-12394	472	16	nonlinear	nonlinear	ADJ
fumecheng-12394	472	17	torsional	torsional	ADJ
fumecheng-12394	472	18	vibrations	vibration	NOUN
fumecheng-12394	472	19	of	of	ADP
fumecheng-12394	472	20	a	a	DET
fumecheng-12394	472	21	circular	circular	ADJ
fumecheng-12394	472	22	cylindrical	cylindrical	ADJ
fumecheng-12394	472	23	elastic	elastic	ADJ
fumecheng-12394	472	24	shell	shell	NOUN
fumecheng-12394	472	25	,	,	PUNCT
fumecheng-12394	472	26	aip	aip	PROPN
fumecheng-12394	472	27	conference	conference	NOUN
fumecheng-12394	472	28	proceedings	proceeding	NOUN
fumecheng-12394	472	29	,	,	PUNCT
fumecheng-12394	472	30	2637	2637	NUM
fumecheng-12394	472	31	,	,	PUNCT
fumecheng-12394	472	32	020003	020003	NUM
fumecheng-12394	472	33	.	.	PUNCT
fumecheng-12394	473	1	17	17	NUM
fumecheng-12394	473	2	.	.	PUNCT
fumecheng-12394	474	1	milić	milić	PROPN
fumecheng-12394	474	2	p.	p.	PROPN
fumecheng-12394	474	3	,	,	PUNCT
fumecheng-12394	474	4	marinković	marinković	PROPN
fumecheng-12394	474	5	d.	d.	PROPN
fumecheng-12394	474	6	,	,	PUNCT
fumecheng-12394	474	7	klinge	klinge	PROPN
fumecheng-12394	474	8	s.	s.	PROPN
fumecheng-12394	474	9	,	,	PUNCT
fumecheng-12394	474	10	ćojbašić	ćojbašić	PROPN
fumecheng-12394	474	11	ž	ž	PROPN
fumecheng-12394	474	12	.	.	PROPN
fumecheng-12394	474	13	,	,	PUNCT
fumecheng-12394	474	14	2023	2023	NUM
fumecheng-12394	474	15	,	,	PUNCT
fumecheng-12394	474	16	reissner	reissner	NOUN
fumecheng-12394	474	17	-	-	PUNCT
fumecheng-12394	474	18	mindlin	mindlin	NOUN
fumecheng-12394	474	19	based	base	VERB
fumecheng-12394	474	20	isogeometric	isogeometric	ADJ
fumecheng-12394	474	21	finite	finite	PROPN
fumecheng-12394	474	22	element	element	NOUN
fumecheng-12394	474	23	formulation	formulation	NOUN
fumecheng-12394	474	24	for	for	ADP
fumecheng-12394	474	25	piezoelectric	piezoelectric	ADJ
fumecheng-12394	474	26	active	active	ADJ
fumecheng-12394	474	27	laminated	laminated	ADJ
fumecheng-12394	474	28	shells	shell	NOUN
fumecheng-12394	474	29	,	,	PUNCT
fumecheng-12394	474	30	tehnicki	tehnicki	NOUN
fumecheng-12394	474	31	vjesnik	vjesnik	PROPN
fumecheng-12394	474	32	,	,	PUNCT
fumecheng-12394	474	33	30(2	30(2	NUM
fumecheng-12394	474	34	)	)	PUNCT
fumecheng-12394	474	35	,	,	PUNCT
fumecheng-12394	474	36	pp	pp	ADP
fumecheng-12394	474	37	.	.	PUNCT
fumecheng-12394	475	1	416	416	NUM
fumecheng-12394	475	2	425	425	NUM
fumecheng-12394	475	3	.	.	PUNCT
fumecheng-12394	476	1	18	18	NUM
fumecheng-12394	476	2	.	.	PUNCT
fumecheng-12394	477	1	vyachkin	vyachkin	PROPN
fumecheng-12394	477	2	e.s	e.s	PROPN
fumecheng-12394	477	3	.	.	PROPN
fumecheng-12394	477	4	,	,	PUNCT
fumecheng-12394	477	5	kaledin	kaledin	VERB
fumecheng-12394	477	6	v.o	v.o	PROPN
fumecheng-12394	477	7	.	.	PROPN
fumecheng-12394	477	8	,	,	PUNCT
fumecheng-12394	477	9	reshetnikova	reshetnikova	X
fumecheng-12394	478	1	e.v	e.v	PROPN
fumecheng-12394	478	2	.	.	PROPN
fumecheng-12394	478	3	,	,	PUNCT
fumecheng-12394	478	4	vyachkina	vyachkina	PROPN
fumecheng-12394	478	5	e.a	e.a	PROPN
fumecheng-12394	478	6	.	.	PROPN
fumecheng-12394	478	7	,	,	PUNCT
fumecheng-12394	478	8	gileva	gileva	PROPN
fumecheng-12394	478	9	a.e	a.e	PROPN
fumecheng-12394	478	10	.	.	PROPN
fumecheng-12394	478	11	,	,	PUNCT
fumecheng-12394	478	12	2018	2018	NUM
fumecheng-12394	478	13	,	,	PUNCT
fumecheng-12394	478	14	mathematical	mathematical	ADJ
fumecheng-12394	478	15	modeling	modeling	NOUN
fumecheng-12394	478	16	of	of	ADP
fumecheng-12394	478	17	static	static	ADJ
fumecheng-12394	478	18	deformation	deformation	NOUN
fumecheng-12394	478	19	of	of	ADP
fumecheng-12394	478	20	a	a	DET
fumecheng-12394	478	21	layered	layered	ADJ
fumecheng-12394	478	22	construction	construction	NOUN
fumecheng-12394	478	23	with	with	ADP
fumecheng-12394	478	24	incompressible	incompressible	ADJ
fumecheng-12394	478	25	layers	layer	NOUN
fumecheng-12394	478	26	,	,	PUNCT
fumecheng-12394	478	27	tomsk	tomsk	PROPN
fumecheng-12394	478	28	state	state	PROPN
fumecheng-12394	478	29	university	university	PROPN
fumecheng-12394	478	30	journal	journal	NOUN
fumecheng-12394	478	31	of	of	ADP
fumecheng-12394	478	32	mathematics	mathematic	NOUN
fumecheng-12394	478	33	and	and	CCONJ
fumecheng-12394	478	34	mechanics	mechanic	NOUN
fumecheng-12394	478	35	,	,	PUNCT
fumecheng-12394	478	36	55	55	NUM
fumecheng-12394	478	37	,	,	PUNCT
fumecheng-12394	478	38	pp.72–83	pp.72–83	NOUN
fumecheng-12394	478	39	.	.	PUNCT
fumecheng-12394	479	1	19	19	NUM
fumecheng-12394	479	2	.	.	PUNCT
fumecheng-12394	479	3	khudoynazarov	khudoynazarov	PROPN
fumecheng-12394	479	4	kh.kh	kh.kh	PROPN
fumecheng-12394	479	5	.	.	PUNCT
fumecheng-12394	479	6	,	,	PUNCT
fumecheng-12394	479	7	khalmuradov	khalmuradov	PROPN
fumecheng-12394	479	8	r.i	r.i	PROPN
fumecheng-12394	479	9	.	.	PROPN
fumecheng-12394	479	10	,	,	PUNCT
fumecheng-12394	479	11	yalgashev	yalgashev	PROPN
fumecheng-12394	479	12	b.f	b.f	PROPN
fumecheng-12394	479	13	.	.	PROPN
fumecheng-12394	479	14	,	,	PUNCT
fumecheng-12394	479	15	2021	2021	NUM
fumecheng-12394	479	16	,	,	PUNCT
fumecheng-12394	479	17	longitudinal	longitudinal	ADJ
fumecheng-12394	479	18	-	-	PUNCT
fumecheng-12394	479	19	radial	radial	ADJ
fumecheng-12394	479	20	vibrations	vibration	NOUN
fumecheng-12394	479	21	of	of	ADP
fumecheng-12394	479	22	a	a	DET
fumecheng-12394	479	23	elastic	elastic	ADJ
fumecheng-12394	479	24	cylindrical	cylindrical	ADJ
fumecheng-12394	479	25	shell	shell	NOUN
fumecheng-12394	479	26	filled	fill	VERB
fumecheng-12394	479	27	with	with	ADP
fumecheng-12394	479	28	a	a	DET
fumecheng-12394	479	29	viscous	viscous	ADJ
fumecheng-12394	479	30	compressible	compressible	ADJ
fumecheng-12394	479	31	liquid	liquid	NOUN
fumecheng-12394	479	32	,	,	PUNCT
fumecheng-12394	479	33	tomsk	tomsk	PROPN
fumecheng-12394	479	34	state	state	PROPN
fumecheng-12394	479	35	university	university	PROPN
fumecheng-12394	479	36	,	,	PUNCT
fumecheng-12394	479	37	journal	journal	NOUN
fumecheng-12394	479	38	of	of	ADP
fumecheng-12394	479	39	mathematics	mathematic	NOUN
fumecheng-12394	479	40	and	and	CCONJ
fumecheng-12394	479	41	mechanics	mechanic	NOUN
fumecheng-12394	479	42	,	,	PUNCT
fumecheng-12394	479	43	69	69	NUM
fumecheng-12394	479	44	,	,	PUNCT
fumecheng-12394	479	45	pp	pp	ADJ
fumecheng-12394	479	46	.	.	PUNCT
fumecheng-12394	480	1	139	139	NUM
fumecheng-12394	480	2	-	-	SYM
fumecheng-12394	480	3	154	154	NUM
fumecheng-12394	480	4	.	.	PUNCT
fumecheng-12394	481	1	20	20	NUM
fumecheng-12394	481	2	.	.	PUNCT
fumecheng-12394	482	1	filippov	filippov	PROPN
fumecheng-12394	482	2	,	,	PUNCT
fumecheng-12394	482	3	i.g	i.g	PROPN
fumecheng-12394	482	4	.	.	PROPN
fumecheng-12394	482	5	,	,	PUNCT
fumecheng-12394	482	6	filippov	filippov	PROPN
fumecheng-12394	482	7	,	,	PUNCT
fumecheng-12394	482	8	s.i	s.i	PROPN
fumecheng-12394	482	9	.	.	PROPN
fumecheng-12394	482	10	,	,	PUNCT
fumecheng-12394	482	11	2007	2007	NUM
fumecheng-12394	482	12	,	,	PUNCT
fumecheng-12394	482	13	vibratory	vibratory	NOUN
fumecheng-12394	482	14	and	and	CCONJ
fumecheng-12394	482	15	wave	wave	NOUN
fumecheng-12394	482	16	processes	process	NOUN
fumecheng-12394	482	17	in	in	ADP
fumecheng-12394	482	18	continuous	continuous	ADJ
fumecheng-12394	482	19	compressible	compressible	ADJ
fumecheng-12394	482	20	media	medium	NOUN
fumecheng-12394	482	21	,	,	PUNCT
fumecheng-12394	482	22	moskow	moskow	PROPN
fumecheng-12394	482	23	:	:	PUNCT
fumecheng-12394	482	24	viniti	viniti	PROPN
fumecheng-12394	482	25	,	,	PUNCT
fumecheng-12394	482	26	429	429	NUM
fumecheng-12394	482	27	p.	p.	NOUN
fumecheng-12394	482	28	21	21	NUM
fumecheng-12394	482	29	.	.	PUNCT
fumecheng-12394	483	1	brekhovskikh	brekhovskikh	PROPN
fumecheng-12394	483	2	,	,	PUNCT
fumecheng-12394	483	3	l.	l.	PROPN
fumecheng-12394	483	4	,	,	PUNCT
fumecheng-12394	483	5	2012	2012	NUM
fumecheng-12394	483	6	,	,	PUNCT
fumecheng-12394	483	7	waves	wave	NOUN
fumecheng-12394	483	8	in	in	ADP
fumecheng-12394	483	9	layered	layered	ADJ
fumecheng-12394	483	10	media	medium	NOUN
fumecheng-12394	483	11	,	,	PUNCT
fumecheng-12394	483	12	elsevier	elsevier	NOUN
fumecheng-12394	483	13	,	,	PUNCT
fumecheng-12394	483	14	574	574	NUM
fumecheng-12394	483	15	.	.	PUNCT
fumecheng-12394	483	16	22	22	NUM
fumecheng-12394	483	17	.	.	PUNCT
fumecheng-12394	484	1	khudayarov	khudayarov	PROPN
fumecheng-12394	484	2	,	,	PUNCT
fumecheng-12394	484	3	b.a	b.a	PROPN
fumecheng-12394	484	4	.	.	PROPN
fumecheng-12394	484	5	,	,	PUNCT
fumecheng-12394	484	6	turaev	turaev	PROPN
fumecheng-12394	484	7	,	,	PUNCT
fumecheng-12394	484	8	f.z	f.z	PROPN
fumecheng-12394	484	9	.	.	PROPN
fumecheng-12394	484	10	,	,	PUNCT
fumecheng-12394	484	11	2019	2019	NUM
fumecheng-12394	484	12	,	,	PUNCT
fumecheng-12394	484	13	mathematical	mathematical	ADJ
fumecheng-12394	484	14	simulation	simulation	NOUN
fumecheng-12394	484	15	of	of	ADP
fumecheng-12394	484	16	nonlinear	nonlinear	ADJ
fumecheng-12394	484	17	vibrations	vibration	NOUN
fumecheng-12394	484	18	of	of	ADP
fumecheng-12394	484	19	viscoelastic	viscoelastic	ADJ
fumecheng-12394	484	20	pipelines	pipeline	NOUN
fumecheng-12394	484	21	conveying	convey	VERB
fumecheng-12394	484	22	fluid	fluid	NOUN
fumecheng-12394	484	23	,	,	PUNCT
fumecheng-12394	484	24	applied	apply	VERB
fumecheng-12394	484	25	mathematical	mathematical	ADJ
fumecheng-12394	484	26	modelling	modelling	NOUN
fumecheng-12394	484	27	,	,	PUNCT
fumecheng-12394	484	28	66	66	NUM
fumecheng-12394	484	29	,	,	PUNCT
fumecheng-12394	484	30	pp	pp	ADJ
fumecheng-12394	484	31	.	.	PUNCT
fumecheng-12394	485	1	662–679	662–679	NUM
fumecheng-12394	485	2	.	.	PUNCT
fumecheng-12394	486	1	23	23	NUM
fumecheng-12394	486	2	.	.	PUNCT
fumecheng-12394	487	1	netrebko	netrebko	PROPN
fumecheng-12394	487	2	,	,	PUNCT
fumecheng-12394	487	3	a.v	a.v	PROPN
fumecheng-12394	487	4	.	.	PROPN
fumecheng-12394	487	5	,	,	PUNCT
fumecheng-12394	487	6	pshenichnov	pshenichnov	PROPN
fumecheng-12394	487	7	,	,	PUNCT
fumecheng-12394	487	8	s.g	s.g	PROPN
fumecheng-12394	487	9	.	.	PROPN
fumecheng-12394	487	10	,	,	PUNCT
fumecheng-12394	487	11	2015	2015	NUM
fumecheng-12394	487	12	,	,	PUNCT
fumecheng-12394	487	13	some	some	DET
fumecheng-12394	487	14	problems	problem	NOUN
fumecheng-12394	487	15	of	of	ADP
fumecheng-12394	487	16	dynamics	dynamic	NOUN
fumecheng-12394	487	17	of	of	ADP
fumecheng-12394	487	18	linear	linear	ADJ
fumecheng-12394	487	19	-	-	PUNCT
fumecheng-12394	487	20	viscoelastic	viscoelastic	ADJ
fumecheng-12394	487	21	cylindrical	cylindrical	ADJ
fumecheng-12394	487	22	shells	shell	NOUN
fumecheng-12394	487	23	of	of	ADP
fumecheng-12394	487	24	finite	finite	ADJ
fumecheng-12394	487	25	length	length	NOUN
fumecheng-12394	487	26	,	,	PUNCT
fumecheng-12394	487	27	problems	problem	NOUN
fumecheng-12394	487	28	of	of	ADP
fumecheng-12394	487	29	strength	strength	NOUN
fumecheng-12394	487	30	and	and	CCONJ
fumecheng-12394	487	31	ductility	ductility	NOUN
fumecheng-12394	487	32	,	,	PUNCT
fumecheng-12394	487	33	77(1	77(1	NOUN
fumecheng-12394	487	34	)	)	PUNCT
fumecheng-12394	487	35	,	,	PUNCT
fumecheng-12394	487	36	pp	pp	PROPN
fumecheng-12394	487	37	.	.	PUNCT
fumecheng-12394	488	1	67–74	67–74	NUM
fumecheng-12394	488	2	.	.	PUNCT
fumecheng-12394	489	1	24	24	NUM
fumecheng-12394	489	2	.	.	PUNCT
fumecheng-12394	489	3	rama	rama	PROPN
fumecheng-12394	489	4	g.	g.	PROPN
fumecheng-12394	489	5	,	,	PUNCT
fumecheng-12394	489	6	marinkovic	marinkovic	PROPN
fumecheng-12394	489	7	d.	d.	PROPN
fumecheng-12394	489	8	,	,	PUNCT
fumecheng-12394	489	9	zehn	zehn	PROPN
fumecheng-12394	489	10	m.	m.	NOUN
fumecheng-12394	489	11	,	,	PUNCT
fumecheng-12394	489	12	2018	2018	NUM
fumecheng-12394	489	13	,	,	PUNCT
fumecheng-12394	489	14	high	high	ADJ
fumecheng-12394	489	15	performance	performance	NOUN
fumecheng-12394	489	16	3	3	NUM
fumecheng-12394	489	17	-	-	PUNCT
fumecheng-12394	489	18	node	node	ADJ
fumecheng-12394	489	19	shell	shell	NOUN
fumecheng-12394	489	20	element	element	NOUN
fumecheng-12394	489	21	for	for	ADP
fumecheng-12394	489	22	linear	linear	PROPN
fumecheng-12394	489	23	and	and	CCONJ
fumecheng-12394	489	24	geometrically	geometrically	ADV
fumecheng-12394	489	25	nonlinear	nonlinear	VERB
fumecheng-12394	489	26	analysis	analysis	NOUN
fumecheng-12394	489	27	of	of	ADP
fumecheng-12394	489	28	composite	composite	ADJ
fumecheng-12394	489	29	laminates	laminate	NOUN
fumecheng-12394	489	30	,	,	PUNCT
fumecheng-12394	489	31	composites	composite	VERB
fumecheng-12394	489	32	part	part	NOUN
fumecheng-12394	489	33	b	b	NOUN
fumecheng-12394	489	34	:	:	PUNCT
fumecheng-12394	489	35	engineering	engineering	NOUN
fumecheng-12394	489	36	,	,	PUNCT
fumecheng-12394	489	37	151	151	NUM
fumecheng-12394	489	38	,	,	PUNCT
fumecheng-12394	489	39	pp	pp	ADJ
fumecheng-12394	489	40	.	.	PUNCT
fumecheng-12394	490	1	118	118	NUM
fumecheng-12394	490	2	126	126	NUM
fumecheng-12394	490	3	.	.	PUNCT
fumecheng-12394	491	1	25	25	NUM
fumecheng-12394	491	2	.	.	PUNCT
fumecheng-12394	491	3	safaei	safaei	PROPN
fumecheng-12394	491	4	,	,	PUNCT
fumecheng-12394	491	5	b.	b.	PROPN
fumecheng-12394	491	6	,	,	PUNCT
fumecheng-12394	491	7	chukwueloka	chukwueloka	PROPN
fumecheng-12394	491	8	onyibo	onyibo	NOUN
fumecheng-12394	491	9	,	,	PUNCT
fumecheng-12394	491	10	e.	e.	PROPN
fumecheng-12394	491	11	,	,	PUNCT
fumecheng-12394	491	12	goren	goren	PROPN
fumecheng-12394	491	13	,	,	PUNCT
fumecheng-12394	491	14	m.	m.	NOUN
fumecheng-12394	491	15	,	,	PUNCT
fumecheng-12394	491	16	kotrasova	kotrasova	PROPN
fumecheng-12394	491	17	,	,	PUNCT
fumecheng-12394	491	18	k.	k.	PROPN
fumecheng-12394	491	19	,	,	PUNCT
fumecheng-12394	491	20	yang	yang	PROPN
fumecheng-12394	491	21	,	,	PUNCT
fumecheng-12394	491	22	z.	z.	PROPN
fumecheng-12394	491	23	,	,	PUNCT
fumecheng-12394	491	24	arman	arman	PROPN
fumecheng-12394	491	25	,	,	PUNCT
fumecheng-12394	491	26	s.	s.	PROPN
fumecheng-12394	491	27	,	,	PUNCT
fumecheng-12394	491	28	asmael	asmael	PROPN
fumecheng-12394	491	29	,	,	PUNCT
fumecheng-12394	491	30	m.	m.	NOUN
fumecheng-12394	491	31	,	,	PUNCT
fumecheng-12394	491	32	2023	2023	NUM
fumecheng-12394	491	33	,	,	PUNCT
fumecheng-12394	491	34	free	free	ADJ
fumecheng-12394	491	35	vibration	vibration	NOUN
fumecheng-12394	491	36	investigation	investigation	NOUN
fumecheng-12394	491	37	on	on	ADP
fumecheng-12394	491	38	rve	rve	PROPN
fumecheng-12394	491	39	of	of	ADP
fumecheng-12394	491	40	proposed	propose	VERB
fumecheng-12394	491	41	honeycomb	honeycomb	NOUN
fumecheng-12394	491	42	sandwich	sandwich	NOUN
fumecheng-12394	491	43	beam	beam	NOUN
fumecheng-12394	491	44	and	and	CCONJ
fumecheng-12394	491	45	material	material	NOUN
fumecheng-12394	491	46	selection	selection	NOUN
fumecheng-12394	491	47	optimization	optimization	NOUN
fumecheng-12394	491	48	,	,	PUNCT
fumecheng-12394	491	49	facta	facta	PROPN
fumecheng-12394	491	50	universitatis	universitatis	PROPN
fumecheng-12394	491	51	-	-	PUNCT
fumecheng-12394	491	52	series	series	NOUN
fumecheng-12394	491	53	mechanical	mechanical	ADJ
fumecheng-12394	491	54	engineering	engineering	NOUN
fumecheng-12394	491	55	,	,	PUNCT
fumecheng-12394	491	56	21(1	21(1	NUM
fumecheng-12394	491	57	)	)	PUNCT
fumecheng-12394	491	58	,	,	PUNCT
fumecheng-12394	491	59	pp	pp	ADJ
fumecheng-12394	491	60	.	.	PUNCT
fumecheng-12394	492	1	31	31	NUM
fumecheng-12394	492	2	-	-	SYM
fumecheng-12394	492	3	50	50	NUM
fumecheng-12394	492	4	.	.	PUNCT
fumecheng-12394	493	1	26	26	NUM
fumecheng-12394	493	2	.	.	PUNCT
fumecheng-12394	494	1	zhao	zhao	PROPN
fumecheng-12394	494	2	,	,	PUNCT
fumecheng-12394	494	3	z.	z.	PROPN
fumecheng-12394	494	4	,	,	PUNCT
fumecheng-12394	494	5	yuan	yuan	PROPN
fumecheng-12394	494	6	,	,	PUNCT
fumecheng-12394	494	7	x.	x.	PROPN
fumecheng-12394	494	8	,	,	PUNCT
fumecheng-12394	494	9	zhang	zhang	PROPN
fumecheng-12394	494	10	,	,	PUNCT
fumecheng-12394	494	11	w.	w.	PROPN
fumecheng-12394	494	12	,	,	PUNCT
fumecheng-12394	494	13	niu	niu	PROPN
fumecheng-12394	494	14	,	,	PUNCT
fumecheng-12394	494	15	d.	d.	PROPN
fumecheng-12394	494	16	,	,	PUNCT
fumecheng-12394	494	17	zhang	zhang	PROPN
fumecheng-12394	494	18	,	,	PUNCT
fumecheng-12394	494	19	h.	h.	PROPN
fumecheng-12394	494	20	,	,	PUNCT
fumecheng-12394	494	21	2021	2021	NUM
fumecheng-12394	494	22	,	,	PUNCT
fumecheng-12394	494	23	dynamical	dynamical	ADJ
fumecheng-12394	494	24	modeling	modeling	NOUN
fumecheng-12394	494	25	and	and	CCONJ
fumecheng-12394	494	26	analysis	analysis	NOUN
fumecheng-12394	494	27	of	of	ADP
fumecheng-12394	494	28	hyperelastic	hyperelastic	ADJ
fumecheng-12394	494	29	spherical	spherical	ADJ
fumecheng-12394	494	30	shells	shell	NOUN
fumecheng-12394	494	31	under	under	ADP
fumecheng-12394	494	32	dynamic	dynamic	ADJ
fumecheng-12394	494	33	loads	load	NOUN
fumecheng-12394	494	34	and	and	CCONJ
fumecheng-12394	494	35	structural	structural	ADJ
fumecheng-12394	494	36	damping	damping	NOUN
fumecheng-12394	494	37	,	,	PUNCT
fumecheng-12394	494	38	applied	apply	VERB
fumecheng-12394	494	39	mathematical	mathematical	ADJ
fumecheng-12394	494	40	modelling	modelling	NOUN
fumecheng-12394	494	41	,	,	PUNCT
fumecheng-12394	494	42	95	95	NUM
fumecheng-12394	494	43	,	,	PUNCT
fumecheng-12394	494	44	pp	pp	ADJ
fumecheng-12394	494	45	.	.	PUNCT
fumecheng-12394	495	1	468	468	NUM
fumecheng-12394	495	2	-	-	SYM
fumecheng-12394	495	3	483	483	NUM
fumecheng-12394	495	4	.	.	PUNCT
fumecheng-12394	496	1	27	27	NUM
fumecheng-12394	496	2	.	.	PUNCT
fumecheng-12394	497	1	khudoynazarov	khudoynazarov	PROPN
fumecheng-12394	497	2	,	,	PUNCT
fumecheng-12394	497	3	kh	kh	PROPN
fumecheng-12394	497	4	.	.	PROPN
fumecheng-12394	497	5	,	,	PUNCT
fumecheng-12394	497	6	2023	2023	NUM
fumecheng-12394	497	7	,	,	PUNCT
fumecheng-12394	497	8	a	a	DET
fumecheng-12394	497	9	mathematical	mathematical	ADJ
fumecheng-12394	497	10	model	model	NOUN
fumecheng-12394	497	11	of	of	ADP
fumecheng-12394	497	12	physically	physically	ADV
fumecheng-12394	497	13	nonlinear	nonlinear	ADJ
fumecheng-12394	497	14	torsional	torsional	ADJ
fumecheng-12394	497	15	vibrations	vibration	NOUN
fumecheng-12394	497	16	of	of	ADP
fumecheng-12394	497	17	a	a	DET
fumecheng-12394	497	18	circular	circular	ADJ
fumecheng-12394	497	19	elastic	elastic	ADJ
fumecheng-12394	497	20	rod	rod	NOUN
fumecheng-12394	497	21	,	,	PUNCT
fumecheng-12394	497	22	tomsk	tomsk	PROPN
fumecheng-12394	497	23	state	state	PROPN
fumecheng-12394	497	24	university	university	PROPN
fumecheng-12394	497	25	journal	journal	NOUN
fumecheng-12394	497	26	of	of	ADP
fumecheng-12394	497	27	mathematics	mathematic	NOUN
fumecheng-12394	497	28	and	and	CCONJ
fumecheng-12394	497	29	mechanics	mechanic	NOUN
fumecheng-12394	497	30	,	,	PUNCT
fumecheng-12394	497	31	84	84	NUM
fumecheng-12394	497	32	,	,	PUNCT
fumecheng-12394	497	33	pp	pp	ADJ
fumecheng-12394	497	34	.	.	PUNCT
fumecheng-12394	498	1	152–166	152–166	NUM
fumecheng-12394	498	2	.	.	PUNCT